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Finding the Fourth Proportional to 9,224.66, 12,742.04 and 7,462.91

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Solution

The fourth proportional to 9,224.66, 12,742.04 and 7,462.91 is: 10,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.66 : 12,742.04 = 7,462.91 : x
  2. Step 2: Convert to fraction form
    9,224.66/12,742.04 = 7,462.91/x
  3. Step 3: Cross multiply
    9,224.66x = 12,742.04 × 7,462.91
  4. Step 4: Simplify right side
    9,224.66x = 95,092,697.74
  5. Step 5: Solve for x
    x = 95,092,697.74/9,224.66
  6. Step 6: Final answer
    x = 10,308.53

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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.