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Finding the Fourth Proportional to 6,357.40, 8,766.32 and 5,348.84

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Solution

The fourth proportional to 6,357.40, 8,766.32 and 5,348.84 is: 7,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.40 : 8,766.32 = 5,348.84 : x
  2. Step 2: Convert to fraction form
    6,357.40/8,766.32 = 5,348.84/x
  3. Step 3: Cross multiply
    6,357.40x = 8,766.32 × 5,348.84
  4. Step 4: Simplify right side
    6,357.40x = 46,889,572.49
  5. Step 5: Solve for x
    x = 46,889,572.49/6,357.40
  6. Step 6: Final answer
    x = 7,375.59

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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.