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Finding the Fourth Proportional to 13,841.92, 20,762.18 and 3,981.10

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Solution

The fourth proportional to 13,841.92, 20,762.18 and 3,981.10 is: 5,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.92 : 20,762.18 = 3,981.10 : x
  2. Step 2: Convert to fraction form
    13,841.92/20,762.18 = 3,981.10/x
  3. Step 3: Cross multiply
    13,841.92x = 20,762.18 × 3,981.10
  4. Step 4: Simplify right side
    13,841.92x = 82,656,314.80
  5. Step 5: Solve for x
    x = 82,656,314.80/13,841.92
  6. Step 6: Final answer
    x = 5,971.45

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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.