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Finding the Fourth Proportional to 10,618.82, 14,654.08 and 5,839.01

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Solution

The fourth proportional to 10,618.82, 14,654.08 and 5,839.01 is: 8,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.82 : 14,654.08 = 5,839.01 : x
  2. Step 2: Convert to fraction form
    10,618.82/14,654.08 = 5,839.01/x
  3. Step 3: Cross multiply
    10,618.82x = 14,654.08 × 5,839.01
  4. Step 4: Simplify right side
    10,618.82x = 85,565,319.66
  5. Step 5: Solve for x
    x = 85,565,319.66/10,618.82
  6. Step 6: Final answer
    x = 8,057.89

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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.