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Finding the Fourth Proportional to 7,963.38, 10,950.12 and 7,077.60

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Solution

The fourth proportional to 7,963.38, 10,950.12 and 7,077.60 is: 9,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.38 : 10,950.12 = 7,077.60 : x
  2. Step 2: Convert to fraction form
    7,963.38/10,950.12 = 7,077.60/x
  3. Step 3: Cross multiply
    7,963.38x = 10,950.12 × 7,077.60
  4. Step 4: Simplify right side
    7,963.38x = 77,500,569.31
  5. Step 5: Solve for x
    x = 77,500,569.31/7,963.38
  6. Step 6: Final answer
    x = 9,732.12

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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.