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Finding the Fourth Proportional to 15,232.78, 22,855.98 and 9,684.64

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Solution

The fourth proportional to 15,232.78, 22,855.98 and 9,684.64 is: 14,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,232.78 : 22,855.98 = 9,684.64 : x
  2. Step 2: Convert to fraction form
    15,232.78/22,855.98 = 9,684.64/x
  3. Step 3: Cross multiply
    15,232.78x = 22,855.98 × 9,684.64
  4. Step 4: Simplify right side
    15,232.78x = 221,351,938.15
  5. Step 5: Solve for x
    x = 221,351,938.15/15,232.78
  6. Step 6: Final answer
    x = 14,531.29

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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.