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Finding the Fourth Proportional to 10,534.62, 15,767.64 and 7,760.20

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Solution

The fourth proportional to 10,534.62, 15,767.64 and 7,760.20 is: 11,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.62 : 15,767.64 = 7,760.20 : x
  2. Step 2: Convert to fraction form
    10,534.62/15,767.64 = 7,760.20/x
  3. Step 3: Cross multiply
    10,534.62x = 15,767.64 × 7,760.20
  4. Step 4: Simplify right side
    10,534.62x = 122,360,039.93
  5. Step 5: Solve for x
    x = 122,360,039.93/10,534.62
  6. Step 6: Final answer
    x = 11,615.04

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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.