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Finding the Fourth Proportional to 22,907.70, 34,349.40 and 8,117.10

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Solution

The fourth proportional to 22,907.70, 34,349.40 and 8,117.10 is: 12,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,907.70 : 34,349.40 = 8,117.10 : x
  2. Step 2: Convert to fraction form
    22,907.70/34,349.40 = 8,117.10/x
  3. Step 3: Cross multiply
    22,907.70x = 34,349.40 × 8,117.10
  4. Step 4: Simplify right side
    22,907.70x = 278,817,514.74
  5. Step 5: Solve for x
    x = 278,817,514.74/22,907.70
  6. Step 6: Final answer
    x = 12,171.34

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.