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Finding the Fourth Proportional to 7,837.49, 11,799 and 7,148.58

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Solution

The fourth proportional to 7,837.49, 11,799 and 7,148.58 is: 10,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.49 : 11,799 = 7,148.58 : x
  2. Step 2: Convert to fraction form
    7,837.49/11,799 = 7,148.58/x
  3. Step 3: Cross multiply
    7,837.49x = 11,799 × 7,148.58
  4. Step 4: Simplify right side
    7,837.49x = 84,346,095.42
  5. Step 5: Solve for x
    x = 84,346,095.42/7,837.49
  6. Step 6: Final answer
    x = 10,761.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.