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Finding the Fourth Proportional to 9,687.53, 13,366.71 and 6,335.28

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Solution

The fourth proportional to 9,687.53, 13,366.71 and 6,335.28 is: 8,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.53 : 13,366.71 = 6,335.28 : x
  2. Step 2: Convert to fraction form
    9,687.53/13,366.71 = 6,335.28/x
  3. Step 3: Cross multiply
    9,687.53x = 13,366.71 × 6,335.28
  4. Step 4: Simplify right side
    9,687.53x = 84,681,850.53
  5. Step 5: Solve for x
    x = 84,681,850.53/9,687.53
  6. Step 6: Final answer
    x = 8,741.33

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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.