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Finding the Fourth Proportional to 6,264.34, 9,324.92 and 6,170.91

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Solution

The fourth proportional to 6,264.34, 9,324.92 and 6,170.91 is: 9,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.34 : 9,324.92 = 6,170.91 : x
  2. Step 2: Convert to fraction form
    6,264.34/9,324.92 = 6,170.91/x
  3. Step 3: Cross multiply
    6,264.34x = 9,324.92 × 6,170.91
  4. Step 4: Simplify right side
    6,264.34x = 57,543,248.76
  5. Step 5: Solve for x
    x = 57,543,248.76/6,264.34
  6. Step 6: Final answer
    x = 9,185.85

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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.