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Finding the Fourth Proportional to 9,322.80, 12,862.20 and 5,966.16

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Solution

The fourth proportional to 9,322.80, 12,862.20 and 5,966.16 is: 8,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.80 : 12,862.20 = 5,966.16 : x
  2. Step 2: Convert to fraction form
    9,322.80/12,862.20 = 5,966.16/x
  3. Step 3: Cross multiply
    9,322.80x = 12,862.20 × 5,966.16
  4. Step 4: Simplify right side
    9,322.80x = 76,737,943.15
  5. Step 5: Solve for x
    x = 76,737,943.15/9,322.80
  6. Step 6: Final answer
    x = 8,231.21

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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.