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Finding the Fourth Proportional to 9,522.86, 13,166.63 and 8,340.54

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Solution

The fourth proportional to 9,522.86, 13,166.63 and 8,340.54 is: 11,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.86 : 13,166.63 = 8,340.54 : x
  2. Step 2: Convert to fraction form
    9,522.86/13,166.63 = 8,340.54/x
  3. Step 3: Cross multiply
    9,522.86x = 13,166.63 × 8,340.54
  4. Step 4: Simplify right side
    9,522.86x = 109,816,762.48
  5. Step 5: Solve for x
    x = 109,816,762.48/9,522.86
  6. Step 6: Final answer
    x = 11,531.92

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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.