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Finding the Fourth Proportional to 4,575.28, 6,826.88 and 4,296.64

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Solution

The fourth proportional to 4,575.28, 6,826.88 and 4,296.64 is: 6,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.28 : 6,826.88 = 4,296.64 : x
  2. Step 2: Convert to fraction form
    4,575.28/6,826.88 = 4,296.64/x
  3. Step 3: Cross multiply
    4,575.28x = 6,826.88 × 4,296.64
  4. Step 4: Simplify right side
    4,575.28x = 29,332,645.68
  5. Step 5: Solve for x
    x = 29,332,645.68/4,575.28
  6. Step 6: Final answer
    x = 6,411.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.