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Finding the Fourth Proportional to 9,203.76, 12,531.28 and 9,174.64

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Solution

The fourth proportional to 9,203.76, 12,531.28 and 9,174.64 is: 12,491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.76 : 12,531.28 = 9,174.64 : x
  2. Step 2: Convert to fraction form
    9,203.76/12,531.28 = 9,174.64/x
  3. Step 3: Cross multiply
    9,203.76x = 12,531.28 × 9,174.64
  4. Step 4: Simplify right side
    9,203.76x = 114,969,982.74
  5. Step 5: Solve for x
    x = 114,969,982.74/9,203.76
  6. Step 6: Final answer
    x = 12,491.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.