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Finding the Fourth Proportional to 22,652.16, 33,978.24 and 7,071.12

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Solution

The fourth proportional to 22,652.16, 33,978.24 and 7,071.12 is: 10,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.16 : 33,978.24 = 7,071.12 : x
  2. Step 2: Convert to fraction form
    22,652.16/33,978.24 = 7,071.12/x
  3. Step 3: Cross multiply
    22,652.16x = 33,978.24 × 7,071.12
  4. Step 4: Simplify right side
    22,652.16x = 240,264,212.43
  5. Step 5: Solve for x
    x = 240,264,212.43/22,652.16
  6. Step 6: Final answer
    x = 10,606.68

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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.