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Finding the Fourth Proportional to 6,371.46, 9,508.59 and 6,288.84

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Solution

The fourth proportional to 6,371.46, 9,508.59 and 6,288.84 is: 9,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.46 : 9,508.59 = 6,288.84 : x
  2. Step 2: Convert to fraction form
    6,371.46/9,508.59 = 6,288.84/x
  3. Step 3: Cross multiply
    6,371.46x = 9,508.59 × 6,288.84
  4. Step 4: Simplify right side
    6,371.46x = 59,798,001.14
  5. Step 5: Solve for x
    x = 59,798,001.14/6,371.46
  6. Step 6: Final answer
    x = 9,385.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.