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Finding the Fourth Proportional to 6,193.71, 9,305.15 and 5,712.57

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Solution

The fourth proportional to 6,193.71, 9,305.15 and 5,712.57 is: 8,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.71 : 9,305.15 = 5,712.57 : x
  2. Step 2: Convert to fraction form
    6,193.71/9,305.15 = 5,712.57/x
  3. Step 3: Cross multiply
    6,193.71x = 9,305.15 × 5,712.57
  4. Step 4: Simplify right side
    6,193.71x = 53,156,292.17
  5. Step 5: Solve for x
    x = 53,156,292.17/6,193.71
  6. Step 6: Final answer
    x = 8,582.30

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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.