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Finding the Fourth Proportional to 8,009.72, 11,053.14 and 4,472.84

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Solution

The fourth proportional to 8,009.72, 11,053.14 and 4,472.84 is: 6,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.72 : 11,053.14 = 4,472.84 : x
  2. Step 2: Convert to fraction form
    8,009.72/11,053.14 = 4,472.84/x
  3. Step 3: Cross multiply
    8,009.72x = 11,053.14 × 4,472.84
  4. Step 4: Simplify right side
    8,009.72x = 49,438,926.72
  5. Step 5: Solve for x
    x = 49,438,926.72/8,009.72
  6. Step 6: Final answer
    x = 6,172.37

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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.