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Finding the Fourth Proportional to 26,642.22, 39,970.17 and 7,922.46

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Solution

The fourth proportional to 26,642.22, 39,970.17 and 7,922.46 is: 11,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,642.22 : 39,970.17 = 7,922.46 : x
  2. Step 2: Convert to fraction form
    26,642.22/39,970.17 = 7,922.46/x
  3. Step 3: Cross multiply
    26,642.22x = 39,970.17 × 7,922.46
  4. Step 4: Simplify right side
    26,642.22x = 316,662,073.02
  5. Step 5: Solve for x
    x = 316,662,073.02/26,642.22
  6. Step 6: Final answer
    x = 11,885.72

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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.