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Finding the Fourth Proportional to 11,332.67, 15,639 and 6,296.87

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Solution

The fourth proportional to 11,332.67, 15,639 and 6,296.87 is: 8,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.67 : 15,639 = 6,296.87 : x
  2. Step 2: Convert to fraction form
    11,332.67/15,639 = 6,296.87/x
  3. Step 3: Cross multiply
    11,332.67x = 15,639 × 6,296.87
  4. Step 4: Simplify right side
    11,332.67x = 98,476,671.74
  5. Step 5: Solve for x
    x = 98,476,671.74/11,332.67
  6. Step 6: Final answer
    x = 8,689.63

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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.