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Finding the Fourth Proportional to 9,900.62, 13,654.13 and 6,123.18

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Solution

The fourth proportional to 9,900.62, 13,654.13 and 6,123.18 is: 8,444.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.62 : 13,654.13 = 6,123.18 : x
  2. Step 2: Convert to fraction form
    9,900.62/13,654.13 = 6,123.18/x
  3. Step 3: Cross multiply
    9,900.62x = 13,654.13 × 6,123.18
  4. Step 4: Simplify right side
    9,900.62x = 83,606,665.12
  5. Step 5: Solve for x
    x = 83,606,665.12/9,900.62
  6. Step 6: Final answer
    x = 8,444.59

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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.