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Finding the Fourth Proportional to 8,222.12, 11,347.96 and 7,948.74

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Solution

The fourth proportional to 8,222.12, 11,347.96 and 7,948.74 is: 10,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.12 : 11,347.96 = 7,948.74 : x
  2. Step 2: Convert to fraction form
    8,222.12/11,347.96 = 7,948.74/x
  3. Step 3: Cross multiply
    8,222.12x = 11,347.96 × 7,948.74
  4. Step 4: Simplify right side
    8,222.12x = 90,201,983.57
  5. Step 5: Solve for x
    x = 90,201,983.57/8,222.12
  6. Step 6: Final answer
    x = 10,970.65

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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.