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Finding the Fourth Proportional to 6,584.76, 9,862.02 and 4,269.24

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Solution

The fourth proportional to 6,584.76, 9,862.02 and 4,269.24 is: 6,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.76 : 9,862.02 = 4,269.24 : x
  2. Step 2: Convert to fraction form
    6,584.76/9,862.02 = 4,269.24/x
  3. Step 3: Cross multiply
    6,584.76x = 9,862.02 × 4,269.24
  4. Step 4: Simplify right side
    6,584.76x = 42,103,330.26
  5. Step 5: Solve for x
    x = 42,103,330.26/6,584.76
  6. Step 6: Final answer
    x = 6,394.06

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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.