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Finding the Fourth Proportional to 6,397.88, 8,828.46 and 3,564.77

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Solution

The fourth proportional to 6,397.88, 8,828.46 and 3,564.77 is: 4,919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.88 : 8,828.46 = 3,564.77 : x
  2. Step 2: Convert to fraction form
    6,397.88/8,828.46 = 3,564.77/x
  3. Step 3: Cross multiply
    6,397.88x = 8,828.46 × 3,564.77
  4. Step 4: Simplify right side
    6,397.88x = 31,471,385.21
  5. Step 5: Solve for x
    x = 31,471,385.21/6,397.88
  6. Step 6: Final answer
    x = 4,919.04

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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.