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Finding the Fourth Proportional to 11,071.49, 15,275.18 and 6,593.81

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Solution

The fourth proportional to 11,071.49, 15,275.18 and 6,593.81 is: 9,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.49 : 15,275.18 = 6,593.81 : x
  2. Step 2: Convert to fraction form
    11,071.49/15,275.18 = 6,593.81/x
  3. Step 3: Cross multiply
    11,071.49x = 15,275.18 × 6,593.81
  4. Step 4: Simplify right side
    11,071.49x = 100,721,574.74
  5. Step 5: Solve for x
    x = 100,721,574.74/11,071.49
  6. Step 6: Final answer
    x = 9,097.39

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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.