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Finding the Fourth Proportional to 6,854.35, 9,458.92 and 3,870.31

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Solution

The fourth proportional to 6,854.35, 9,458.92 and 3,870.31 is: 5,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.35 : 9,458.92 = 3,870.31 : x
  2. Step 2: Convert to fraction form
    6,854.35/9,458.92 = 3,870.31/x
  3. Step 3: Cross multiply
    6,854.35x = 9,458.92 × 3,870.31
  4. Step 4: Simplify right side
    6,854.35x = 36,608,952.67
  5. Step 5: Solve for x
    x = 36,608,952.67/6,854.35
  6. Step 6: Final answer
    x = 5,340.98

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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.