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Finding the Fourth Proportional to 24,738.76, 37,108.14 and 7,208.20

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Solution

The fourth proportional to 24,738.76, 37,108.14 and 7,208.20 is: 10,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.76 : 37,108.14 = 7,208.20 : x
  2. Step 2: Convert to fraction form
    24,738.76/37,108.14 = 7,208.20/x
  3. Step 3: Cross multiply
    24,738.76x = 37,108.14 × 7,208.20
  4. Step 4: Simplify right side
    24,738.76x = 267,482,894.75
  5. Step 5: Solve for x
    x = 267,482,894.75/24,738.76
  6. Step 6: Final answer
    x = 10,812.30

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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.