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Finding the Fourth Proportional to 6,275.52, 9,414.64 and 5,357.44

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Solution

The fourth proportional to 6,275.52, 9,414.64 and 5,357.44 is: 8,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.52 : 9,414.64 = 5,357.44 : x
  2. Step 2: Convert to fraction form
    6,275.52/9,414.64 = 5,357.44/x
  3. Step 3: Cross multiply
    6,275.52x = 9,414.64 × 5,357.44
  4. Step 4: Simplify right side
    6,275.52x = 50,438,368.92
  5. Step 5: Solve for x
    x = 50,438,368.92/6,275.52
  6. Step 6: Final answer
    x = 8,037.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.