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Finding the Fourth Proportional to 7,963.95, 10,961.24 and 7,013.53

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Solution

The fourth proportional to 7,963.95, 10,961.24 and 7,013.53 is: 9,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.95 : 10,961.24 = 7,013.53 : x
  2. Step 2: Convert to fraction form
    7,963.95/10,961.24 = 7,013.53/x
  3. Step 3: Cross multiply
    7,963.95x = 10,961.24 × 7,013.53
  4. Step 4: Simplify right side
    7,963.95x = 76,876,950.51
  5. Step 5: Solve for x
    x = 76,876,950.51/7,963.95
  6. Step 6: Final answer
    x = 9,653.12

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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.