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Finding the Fourth Proportional to 21,990.48, 32,966 and 7,947.22

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Solution

The fourth proportional to 21,990.48, 32,966 and 7,947.22 is: 11,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,990.48 : 32,966 = 7,947.22 : x
  2. Step 2: Convert to fraction form
    21,990.48/32,966 = 7,947.22/x
  3. Step 3: Cross multiply
    21,990.48x = 32,966 × 7,947.22
  4. Step 4: Simplify right side
    21,990.48x = 261,988,054.52
  5. Step 5: Solve for x
    x = 261,988,054.52/21,990.48
  6. Step 6: Final answer
    x = 11,913.70

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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.