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Finding the Fourth Proportional to 6,834.93, 9,432.60 and 4,182.84

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Solution

The fourth proportional to 6,834.93, 9,432.60 and 4,182.84 is: 5,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.93 : 9,432.60 = 4,182.84 : x
  2. Step 2: Convert to fraction form
    6,834.93/9,432.60 = 4,182.84/x
  3. Step 3: Cross multiply
    6,834.93x = 9,432.60 × 4,182.84
  4. Step 4: Simplify right side
    6,834.93x = 39,455,064.43
  5. Step 5: Solve for x
    x = 39,455,064.43/6,834.93
  6. Step 6: Final answer
    x = 5,772.56

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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.