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Finding the Fourth Proportional to 7,971.03, 10,974.98 and 6,773.49

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Solution

The fourth proportional to 7,971.03, 10,974.98 and 6,773.49 is: 9,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.03 : 10,974.98 = 6,773.49 : x
  2. Step 2: Convert to fraction form
    7,971.03/10,974.98 = 6,773.49/x
  3. Step 3: Cross multiply
    7,971.03x = 10,974.98 × 6,773.49
  4. Step 4: Simplify right side
    7,971.03x = 74,338,934.21
  5. Step 5: Solve for x
    x = 74,338,934.21/7,971.03
  6. Step 6: Final answer
    x = 9,326.14

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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.