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Finding the Fourth Proportional to 22,563, 33,836.13 and 10,070.64

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Solution

The fourth proportional to 22,563, 33,836.13 and 10,070.64 is: 15,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563 : 33,836.13 = 10,070.64 : x
  2. Step 2: Convert to fraction form
    22,563/33,836.13 = 10,070.64/x
  3. Step 3: Cross multiply
    22,563x = 33,836.13 × 10,070.64
  4. Step 4: Simplify right side
    22,563x = 340,751,484.22
  5. Step 5: Solve for x
    x = 340,751,484.22/22,563
  6. Step 6: Final answer
    x = 15,102.22

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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.