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Finding the Fourth Proportional to 10,642.56, 15,927.36 and 8,162.88

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Solution

The fourth proportional to 10,642.56, 15,927.36 and 8,162.88 is: 12,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.56 : 15,927.36 = 8,162.88 : x
  2. Step 2: Convert to fraction form
    10,642.56/15,927.36 = 8,162.88/x
  3. Step 3: Cross multiply
    10,642.56x = 15,927.36 × 8,162.88
  4. Step 4: Simplify right side
    10,642.56x = 130,013,128.40
  5. Step 5: Solve for x
    x = 130,013,128.40/10,642.56
  6. Step 6: Final answer
    x = 12,216.34

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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.