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Finding the Fourth Proportional to 6,515.88, 9,773.84 and 4,576.74

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Solution

The fourth proportional to 6,515.88, 9,773.84 and 4,576.74 is: 6,865.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.88 : 9,773.84 = 4,576.74 : x
  2. Step 2: Convert to fraction form
    6,515.88/9,773.84 = 4,576.74/x
  3. Step 3: Cross multiply
    6,515.88x = 9,773.84 × 4,576.74
  4. Step 4: Simplify right side
    6,515.88x = 44,732,301.60
  5. Step 5: Solve for x
    x = 44,732,301.60/6,515.88
  6. Step 6: Final answer
    x = 6,865.12

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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.