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Finding the Fourth Proportional to 21,694.74, 32,543.04 and 6,902.16

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Solution

The fourth proportional to 21,694.74, 32,543.04 and 6,902.16 is: 10,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,694.74 : 32,543.04 = 6,902.16 : x
  2. Step 2: Convert to fraction form
    21,694.74/32,543.04 = 6,902.16/x
  3. Step 3: Cross multiply
    21,694.74x = 32,543.04 × 6,902.16
  4. Step 4: Simplify right side
    21,694.74x = 224,617,268.97
  5. Step 5: Solve for x
    x = 224,617,268.97/21,694.74
  6. Step 6: Final answer
    x = 10,353.54

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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.