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Finding the Fourth Proportional to 9,672.57, 13,332.06 and 7,310.61

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Solution

The fourth proportional to 9,672.57, 13,332.06 and 7,310.61 is: 10,076.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.57 : 13,332.06 = 7,310.61 : x
  2. Step 2: Convert to fraction form
    9,672.57/13,332.06 = 7,310.61/x
  3. Step 3: Cross multiply
    9,672.57x = 13,332.06 × 7,310.61
  4. Step 4: Simplify right side
    9,672.57x = 97,465,491.16
  5. Step 5: Solve for x
    x = 97,465,491.16/9,672.57
  6. Step 6: Final answer
    x = 10,076.48

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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.