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Finding the Fourth Proportional to 22,652.64, 33,973.12 and 7,062.24

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Solution

The fourth proportional to 22,652.64, 33,973.12 and 7,062.24 is: 10,591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.64 : 33,973.12 = 7,062.24 : x
  2. Step 2: Convert to fraction form
    22,652.64/33,973.12 = 7,062.24/x
  3. Step 3: Cross multiply
    22,652.64x = 33,973.12 × 7,062.24
  4. Step 4: Simplify right side
    22,652.64x = 239,926,326.99
  5. Step 5: Solve for x
    x = 239,926,326.99/22,652.64
  6. Step 6: Final answer
    x = 10,591.54

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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.