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Finding the Fourth Proportional to 6,584.40, 9,862.80 and 3,077.40

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Solution

The fourth proportional to 6,584.40, 9,862.80 and 3,077.40 is: 4,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.40 : 9,862.80 = 3,077.40 : x
  2. Step 2: Convert to fraction form
    6,584.40/9,862.80 = 3,077.40/x
  3. Step 3: Cross multiply
    6,584.40x = 9,862.80 × 3,077.40
  4. Step 4: Simplify right side
    6,584.40x = 30,351,780.72
  5. Step 5: Solve for x
    x = 30,351,780.72/6,584.40
  6. Step 6: Final answer
    x = 4,609.65

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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.