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Finding the Fourth Proportional to 7,876.52, 10,799.16 and 7,736.12

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Solution

The fourth proportional to 7,876.52, 10,799.16 and 7,736.12 is: 10,606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.52 : 10,799.16 = 7,736.12 : x
  2. Step 2: Convert to fraction form
    7,876.52/10,799.16 = 7,736.12/x
  3. Step 3: Cross multiply
    7,876.52x = 10,799.16 × 7,736.12
  4. Step 4: Simplify right side
    7,876.52x = 83,543,597.66
  5. Step 5: Solve for x
    x = 83,543,597.66/7,876.52
  6. Step 6: Final answer
    x = 10,606.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.