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Finding the Fourth Proportional to 6,531.84, 9,013.80 and 3,699.74

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Solution

The fourth proportional to 6,531.84, 9,013.80 and 3,699.74 is: 5,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.84 : 9,013.80 = 3,699.74 : x
  2. Step 2: Convert to fraction form
    6,531.84/9,013.80 = 3,699.74/x
  3. Step 3: Cross multiply
    6,531.84x = 9,013.80 × 3,699.74
  4. Step 4: Simplify right side
    6,531.84x = 33,348,716.41
  5. Step 5: Solve for x
    x = 33,348,716.41/6,531.84
  6. Step 6: Final answer
    x = 5,105.56

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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.