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Finding the Fourth Proportional to 9,137.61, 13,711.86 and 3,294.63

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Solution

The fourth proportional to 9,137.61, 13,711.86 and 3,294.63 is: 4,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.61 : 13,711.86 = 3,294.63 : x
  2. Step 2: Convert to fraction form
    9,137.61/13,711.86 = 3,294.63/x
  3. Step 3: Cross multiply
    9,137.61x = 13,711.86 × 3,294.63
  4. Step 4: Simplify right side
    9,137.61x = 45,175,505.31
  5. Step 5: Solve for x
    x = 45,175,505.31/9,137.61
  6. Step 6: Final answer
    x = 4,943.91

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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.