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Finding the Fourth Proportional to 6,657, 9,186.66 and 3,713

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Solution

The fourth proportional to 6,657, 9,186.66 and 3,713 is: 5,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657 : 9,186.66 = 3,713 : x
  2. Step 2: Convert to fraction form
    6,657/9,186.66 = 3,713/x
  3. Step 3: Cross multiply
    6,657x = 9,186.66 × 3,713
  4. Step 4: Simplify right side
    6,657x = 34,110,068.58
  5. Step 5: Solve for x
    x = 34,110,068.58/6,657
  6. Step 6: Final answer
    x = 5,123.94

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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.