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Finding the Fourth Proportional to 16,402.71, 24,607.97 and 5,309.40

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Solution

The fourth proportional to 16,402.71, 24,607.97 and 5,309.40 is: 7,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.71 : 24,607.97 = 5,309.40 : x
  2. Step 2: Convert to fraction form
    16,402.71/24,607.97 = 5,309.40/x
  3. Step 3: Cross multiply
    16,402.71x = 24,607.97 × 5,309.40
  4. Step 4: Simplify right side
    16,402.71x = 130,653,406.33
  5. Step 5: Solve for x
    x = 130,653,406.33/16,402.71
  6. Step 6: Final answer
    x = 7,965.36

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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.