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Finding the Fourth Proportional to 10,532, 15,716.30 and 9,132.32

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Solution

The fourth proportional to 10,532, 15,716.30 and 9,132.32 is: 13,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532 : 15,716.30 = 9,132.32 : x
  2. Step 2: Convert to fraction form
    10,532/15,716.30 = 9,132.32/x
  3. Step 3: Cross multiply
    10,532x = 15,716.30 × 9,132.32
  4. Step 4: Simplify right side
    10,532x = 143,526,280.82
  5. Step 5: Solve for x
    x = 143,526,280.82/10,532
  6. Step 6: Final answer
    x = 13,627.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.