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Finding the Fourth Proportional to 24,748.16, 37,118.60 and 7,213.28

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Solution

The fourth proportional to 24,748.16, 37,118.60 and 7,213.28 is: 10,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,748.16 : 37,118.60 = 7,213.28 : x
  2. Step 2: Convert to fraction form
    24,748.16/37,118.60 = 7,213.28/x
  3. Step 3: Cross multiply
    24,748.16x = 37,118.60 × 7,213.28
  4. Step 4: Simplify right side
    24,748.16x = 267,746,855.01
  5. Step 5: Solve for x
    x = 267,746,855.01/24,748.16
  6. Step 6: Final answer
    x = 10,818.86

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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.