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Finding the Fourth Proportional to 11,915.52, 16,430.46 and 7,437.66

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Solution

The fourth proportional to 11,915.52, 16,430.46 and 7,437.66 is: 10,255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.52 : 16,430.46 = 7,437.66 : x
  2. Step 2: Convert to fraction form
    11,915.52/16,430.46 = 7,437.66/x
  3. Step 3: Cross multiply
    11,915.52x = 16,430.46 × 7,437.66
  4. Step 4: Simplify right side
    11,915.52x = 122,204,175.12
  5. Step 5: Solve for x
    x = 122,204,175.12/11,915.52
  6. Step 6: Final answer
    x = 10,255.88

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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.