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Finding the Fourth Proportional to 17,737.04, 24,477 and 9,778.88

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Solution

The fourth proportional to 17,737.04, 24,477 and 9,778.88 is: 13,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.04 : 24,477 = 9,778.88 : x
  2. Step 2: Convert to fraction form
    17,737.04/24,477 = 9,778.88/x
  3. Step 3: Cross multiply
    17,737.04x = 24,477 × 9,778.88
  4. Step 4: Simplify right side
    17,737.04x = 239,357,645.76
  5. Step 5: Solve for x
    x = 239,357,645.76/17,737.04
  6. Step 6: Final answer
    x = 13,494.79

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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.