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Finding the Fourth Proportional to 10,591.22, 15,880.62 and 9,032.06

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Solution

The fourth proportional to 10,591.22, 15,880.62 and 9,032.06 is: 13,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.22 : 15,880.62 = 9,032.06 : x
  2. Step 2: Convert to fraction form
    10,591.22/15,880.62 = 9,032.06/x
  3. Step 3: Cross multiply
    10,591.22x = 15,880.62 × 9,032.06
  4. Step 4: Simplify right side
    10,591.22x = 143,434,712.68
  5. Step 5: Solve for x
    x = 143,434,712.68/10,591.22
  6. Step 6: Final answer
    x = 13,542.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.