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Finding the Fourth Proportional to 15,272.60, 22,912.17 and 4,742.40

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Solution

The fourth proportional to 15,272.60, 22,912.17 and 4,742.40 is: 7,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,272.60 : 22,912.17 = 4,742.40 : x
  2. Step 2: Convert to fraction form
    15,272.60/22,912.17 = 4,742.40/x
  3. Step 3: Cross multiply
    15,272.60x = 22,912.17 × 4,742.40
  4. Step 4: Simplify right side
    15,272.60x = 108,658,675.01
  5. Step 5: Solve for x
    x = 108,658,675.01/15,272.60
  6. Step 6: Final answer
    x = 7,114.62

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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.