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Finding the Fourth Proportional to 16,007.76, 24,057 and 9,437.04

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Solution

The fourth proportional to 16,007.76, 24,057 and 9,437.04 is: 14,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.76 : 24,057 = 9,437.04 : x
  2. Step 2: Convert to fraction form
    16,007.76/24,057 = 9,437.04/x
  3. Step 3: Cross multiply
    16,007.76x = 24,057 × 9,437.04
  4. Step 4: Simplify right side
    16,007.76x = 227,026,871.28
  5. Step 5: Solve for x
    x = 227,026,871.28/16,007.76
  6. Step 6: Final answer
    x = 14,182.30

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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.