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Finding the Fourth Proportional to 11,881.80, 17,825.40 and 6,948.90

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Solution

The fourth proportional to 11,881.80, 17,825.40 and 6,948.90 is: 10,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.80 : 17,825.40 = 6,948.90 : x
  2. Step 2: Convert to fraction form
    11,881.80/17,825.40 = 6,948.90/x
  3. Step 3: Cross multiply
    11,881.80x = 17,825.40 × 6,948.90
  4. Step 4: Simplify right side
    11,881.80x = 123,866,922.06
  5. Step 5: Solve for x
    x = 123,866,922.06/11,881.80
  6. Step 6: Final answer
    x = 10,424.93

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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.