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Finding the Fourth Proportional to 9,324.90, 12,862.91 and 5,966.48

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Solution

The fourth proportional to 9,324.90, 12,862.91 and 5,966.48 is: 8,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.90 : 12,862.91 = 5,966.48 : x
  2. Step 2: Convert to fraction form
    9,324.90/12,862.91 = 5,966.48/x
  3. Step 3: Cross multiply
    9,324.90x = 12,862.91 × 5,966.48
  4. Step 4: Simplify right side
    9,324.90x = 76,746,201.11
  5. Step 5: Solve for x
    x = 76,746,201.11/9,324.90
  6. Step 6: Final answer
    x = 8,230.24

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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.