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Finding the Fourth Proportional to 6,992.97, 10,531.12 and 6,307.53

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Solution

The fourth proportional to 6,992.97, 10,531.12 and 6,307.53 is: 9,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.97 : 10,531.12 = 6,307.53 : x
  2. Step 2: Convert to fraction form
    6,992.97/10,531.12 = 6,307.53/x
  3. Step 3: Cross multiply
    6,992.97x = 10,531.12 × 6,307.53
  4. Step 4: Simplify right side
    6,992.97x = 66,425,339.56
  5. Step 5: Solve for x
    x = 66,425,339.56/6,992.97
  6. Step 6: Final answer
    x = 9,498.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.