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Finding the Fourth Proportional to 6,785.84, 9,348.24 and 6,452.30

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Solution

The fourth proportional to 6,785.84, 9,348.24 and 6,452.30 is: 8,888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.84 : 9,348.24 = 6,452.30 : x
  2. Step 2: Convert to fraction form
    6,785.84/9,348.24 = 6,452.30/x
  3. Step 3: Cross multiply
    6,785.84x = 9,348.24 × 6,452.30
  4. Step 4: Simplify right side
    6,785.84x = 60,317,648.95
  5. Step 5: Solve for x
    x = 60,317,648.95/6,785.84
  6. Step 6: Final answer
    x = 8,888.75

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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.