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Finding the Fourth Proportional to 7,657.74, 11,486.49 and 4,193.10

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Solution

The fourth proportional to 7,657.74, 11,486.49 and 4,193.10 is: 6,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.74 : 11,486.49 = 4,193.10 : x
  2. Step 2: Convert to fraction form
    7,657.74/11,486.49 = 4,193.10/x
  3. Step 3: Cross multiply
    7,657.74x = 11,486.49 × 4,193.10
  4. Step 4: Simplify right side
    7,657.74x = 48,164,001.22
  5. Step 5: Solve for x
    x = 48,164,001.22/7,657.74
  6. Step 6: Final answer
    x = 6,289.58

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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.