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Finding the Fourth Proportional to 7,713.78, 10,645.10 and 4,177.08

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Solution

The fourth proportional to 7,713.78, 10,645.10 and 4,177.08 is: 5,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.78 : 10,645.10 = 4,177.08 : x
  2. Step 2: Convert to fraction form
    7,713.78/10,645.10 = 4,177.08/x
  3. Step 3: Cross multiply
    7,713.78x = 10,645.10 × 4,177.08
  4. Step 4: Simplify right side
    7,713.78x = 44,465,434.31
  5. Step 5: Solve for x
    x = 44,465,434.31/7,713.78
  6. Step 6: Final answer
    x = 5,764.42

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1.5x scale

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.