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Finding the Fourth Proportional to 27,430.68, 41,146.02 and 6,654

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Solution

The fourth proportional to 27,430.68, 41,146.02 and 6,654 is: 9,981

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430.68 : 41,146.02 = 6,654 : x
  2. Step 2: Convert to fraction form
    27,430.68/41,146.02 = 6,654/x
  3. Step 3: Cross multiply
    27,430.68x = 41,146.02 × 6,654
  4. Step 4: Simplify right side
    27,430.68x = 273,785,617.08
  5. Step 5: Solve for x
    x = 273,785,617.08/27,430.68
  6. Step 6: Final answer
    x = 9,981

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.