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Finding the Fourth Proportional to 9,324, 12,866.92 and 5,132.16

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Solution

The fourth proportional to 9,324, 12,866.92 and 5,132.16 is: 7,082.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324 : 12,866.92 = 5,132.16 : x
  2. Step 2: Convert to fraction form
    9,324/12,866.92 = 5,132.16/x
  3. Step 3: Cross multiply
    9,324x = 12,866.92 × 5,132.16
  4. Step 4: Simplify right side
    9,324x = 66,035,092.15
  5. Step 5: Solve for x
    x = 66,035,092.15/9,324
  6. Step 6: Final answer
    x = 7,082.27

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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.