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Finding the Fourth Proportional to 10,979, 15,151.02 and 6,011

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Solution

The fourth proportional to 10,979, 15,151.02 and 6,011 is: 8,295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,979 : 15,151.02 = 6,011 : x
  2. Step 2: Convert to fraction form
    10,979/15,151.02 = 6,011/x
  3. Step 3: Cross multiply
    10,979x = 15,151.02 × 6,011
  4. Step 4: Simplify right side
    10,979x = 91,072,781.22
  5. Step 5: Solve for x
    x = 91,072,781.22/10,979
  6. Step 6: Final answer
    x = 8,295.18

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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.