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Finding the Fourth Proportional to 6,493.38, 8,965.14 and 4,998.66

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Solution

The fourth proportional to 6,493.38, 8,965.14 and 4,998.66 is: 6,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.38 : 8,965.14 = 4,998.66 : x
  2. Step 2: Convert to fraction form
    6,493.38/8,965.14 = 4,998.66/x
  3. Step 3: Cross multiply
    6,493.38x = 8,965.14 × 4,998.66
  4. Step 4: Simplify right side
    6,493.38x = 44,813,686.71
  5. Step 5: Solve for x
    x = 44,813,686.71/6,493.38
  6. Step 6: Final answer
    x = 6,901.44

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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.