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Finding the Fourth Proportional to 9,532.15, 14,282.62 and 9,167.65

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Solution

The fourth proportional to 9,532.15, 14,282.62 and 9,167.65 is: 13,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.15 : 14,282.62 = 9,167.65 : x
  2. Step 2: Convert to fraction form
    9,532.15/14,282.62 = 9,167.65/x
  3. Step 3: Cross multiply
    9,532.15x = 14,282.62 × 9,167.65
  4. Step 4: Simplify right side
    9,532.15x = 130,938,061.24
  5. Step 5: Solve for x
    x = 130,938,061.24/9,532.15
  6. Step 6: Final answer
    x = 13,736.47

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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.