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Finding the Fourth Proportional to 6,515.53, 9,773.73 and 3,227.74

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Solution

The fourth proportional to 6,515.53, 9,773.73 and 3,227.74 is: 4,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.53 : 9,773.73 = 3,227.74 : x
  2. Step 2: Convert to fraction form
    6,515.53/9,773.73 = 3,227.74/x
  3. Step 3: Cross multiply
    6,515.53x = 9,773.73 × 3,227.74
  4. Step 4: Simplify right side
    6,515.53x = 31,547,034.84
  5. Step 5: Solve for x
    x = 31,547,034.84/6,515.53
  6. Step 6: Final answer
    x = 4,841.82

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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.