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Finding the Fourth Proportional to 12,179.14, 16,807.23 and 6,590.14

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Solution

The fourth proportional to 12,179.14, 16,807.23 and 6,590.14 is: 9,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.14 : 16,807.23 = 6,590.14 : x
  2. Step 2: Convert to fraction form
    12,179.14/16,807.23 = 6,590.14/x
  3. Step 3: Cross multiply
    12,179.14x = 16,807.23 × 6,590.14
  4. Step 4: Simplify right side
    12,179.14x = 110,761,998.71
  5. Step 5: Solve for x
    x = 110,761,998.71/12,179.14
  6. Step 6: Final answer
    x = 9,094.40

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.