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Finding the Fourth Proportional to 24,921.32, 37,376.88 and 7,147.22

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Solution

The fourth proportional to 24,921.32, 37,376.88 and 7,147.22 is: 10,719.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,921.32 : 37,376.88 = 7,147.22 : x
  2. Step 2: Convert to fraction form
    24,921.32/37,376.88 = 7,147.22/x
  3. Step 3: Cross multiply
    24,921.32x = 37,376.88 × 7,147.22
  4. Step 4: Simplify right side
    24,921.32x = 267,140,784.27
  5. Step 5: Solve for x
    x = 267,140,784.27/24,921.32
  6. Step 6: Final answer
    x = 10,719.37

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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.