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Finding the Fourth Proportional to 13,762.62, 20,622.42 and 10,047.78

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Solution

The fourth proportional to 13,762.62, 20,622.42 and 10,047.78 is: 15,055.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.62 : 20,622.42 = 10,047.78 : x
  2. Step 2: Convert to fraction form
    13,762.62/20,622.42 = 10,047.78/x
  3. Step 3: Cross multiply
    13,762.62x = 20,622.42 × 10,047.78
  4. Step 4: Simplify right side
    13,762.62x = 207,209,539.23
  5. Step 5: Solve for x
    x = 207,209,539.23/13,762.62
  6. Step 6: Final answer
    x = 15,055.97

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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.