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Finding the Fourth Proportional to 11,929.60, 16,462.02 and 6,624.10

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Solution

The fourth proportional to 11,929.60, 16,462.02 and 6,624.10 is: 9,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.60 : 16,462.02 = 6,624.10 : x
  2. Step 2: Convert to fraction form
    11,929.60/16,462.02 = 6,624.10/x
  3. Step 3: Cross multiply
    11,929.60x = 16,462.02 × 6,624.10
  4. Step 4: Simplify right side
    11,929.60x = 109,046,066.68
  5. Step 5: Solve for x
    x = 109,046,066.68/11,929.60
  6. Step 6: Final answer
    x = 9,140.80

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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.