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Finding the Fourth Proportional to 27,577, 38,053.38 and 15,636.52

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Solution

The fourth proportional to 27,577, 38,053.38 and 15,636.52 is: 21,576.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,577 : 38,053.38 = 15,636.52 : x
  2. Step 2: Convert to fraction form
    27,577/38,053.38 = 15,636.52/x
  3. Step 3: Cross multiply
    27,577x = 38,053.38 × 15,636.52
  4. Step 4: Simplify right side
    27,577x = 595,022,437.44
  5. Step 5: Solve for x
    x = 595,022,437.44/27,577
  6. Step 6: Final answer
    x = 21,576.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.