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Finding the Fourth Proportional to 16,403.71, 24,609.47 and 5,310.40

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Solution

The fourth proportional to 16,403.71, 24,609.47 and 5,310.40 is: 7,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,403.71 : 24,609.47 = 5,310.40 : x
  2. Step 2: Convert to fraction form
    16,403.71/24,609.47 = 5,310.40/x
  3. Step 3: Cross multiply
    16,403.71x = 24,609.47 × 5,310.40
  4. Step 4: Simplify right side
    16,403.71x = 130,686,129.49
  5. Step 5: Solve for x
    x = 130,686,129.49/16,403.71
  6. Step 6: Final answer
    x = 7,966.86

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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.