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Finding the Fourth Proportional to 9,049, 12,484.26 and 5,686.12

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Solution

The fourth proportional to 9,049, 12,484.26 and 5,686.12 is: 7,844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049 : 12,484.26 = 5,686.12 : x
  2. Step 2: Convert to fraction form
    9,049/12,484.26 = 5,686.12/x
  3. Step 3: Cross multiply
    9,049x = 12,484.26 × 5,686.12
  4. Step 4: Simplify right side
    9,049x = 70,987,000.47
  5. Step 5: Solve for x
    x = 70,987,000.47/9,049
  6. Step 6: Final answer
    x = 7,844.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.