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Finding the Fourth Proportional to 10,675.70, 14,732.16 and 5,959.88

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Solution

The fourth proportional to 10,675.70, 14,732.16 and 5,959.88 is: 8,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.70 : 14,732.16 = 5,959.88 : x
  2. Step 2: Convert to fraction form
    10,675.70/14,732.16 = 5,959.88/x
  3. Step 3: Cross multiply
    10,675.70x = 14,732.16 × 5,959.88
  4. Step 4: Simplify right side
    10,675.70x = 87,801,905.74
  5. Step 5: Solve for x
    x = 87,801,905.74/10,675.70
  6. Step 6: Final answer
    x = 8,224.46

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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.