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Finding the Fourth Proportional to 10,948, 15,112.08 and 6,532

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Solution

The fourth proportional to 10,948, 15,112.08 and 6,532 is: 9,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948 : 15,112.08 = 6,532 : x
  2. Step 2: Convert to fraction form
    10,948/15,112.08 = 6,532/x
  3. Step 3: Cross multiply
    10,948x = 15,112.08 × 6,532
  4. Step 4: Simplify right side
    10,948x = 98,712,106.56
  5. Step 5: Solve for x
    x = 98,712,106.56/10,948
  6. Step 6: Final answer
    x = 9,016.45

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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.