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Finding the Fourth Proportional to 9,167.04, 13,775.10 and 8,024.20

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Solution

The fourth proportional to 9,167.04, 13,775.10 and 8,024.20 is: 12,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.04 : 13,775.10 = 8,024.20 : x
  2. Step 2: Convert to fraction form
    9,167.04/13,775.10 = 8,024.20/x
  3. Step 3: Cross multiply
    9,167.04x = 13,775.10 × 8,024.20
  4. Step 4: Simplify right side
    9,167.04x = 110,534,157.42
  5. Step 5: Solve for x
    x = 110,534,157.42/9,167.04
  6. Step 6: Final answer
    x = 12,057.78

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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.