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Finding the Fourth Proportional to 6,493.47, 9,737.52 and 2,490.23

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Solution

The fourth proportional to 6,493.47, 9,737.52 and 2,490.23 is: 3,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.47 : 9,737.52 = 2,490.23 : x
  2. Step 2: Convert to fraction form
    6,493.47/9,737.52 = 2,490.23/x
  3. Step 3: Cross multiply
    6,493.47x = 9,737.52 × 2,490.23
  4. Step 4: Simplify right side
    6,493.47x = 24,248,664.43
  5. Step 5: Solve for x
    x = 24,248,664.43/6,493.47
  6. Step 6: Final answer
    x = 3,734.32

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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.