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Finding the Fourth Proportional to 16,504.78, 24,746.10 and 6,500.38

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Solution

The fourth proportional to 16,504.78, 24,746.10 and 6,500.38 is: 9,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,504.78 : 24,746.10 = 6,500.38 : x
  2. Step 2: Convert to fraction form
    16,504.78/24,746.10 = 6,500.38/x
  3. Step 3: Cross multiply
    16,504.78x = 24,746.10 × 6,500.38
  4. Step 4: Simplify right side
    16,504.78x = 160,859,053.52
  5. Step 5: Solve for x
    x = 160,859,053.52/16,504.78
  6. Step 6: Final answer
    x = 9,746.21

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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.