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Finding the Fourth Proportional to 11,702.72, 17,562.27 and 6,765.56

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Solution

The fourth proportional to 11,702.72, 17,562.27 and 6,765.56 is: 10,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.72 : 17,562.27 = 6,765.56 : x
  2. Step 2: Convert to fraction form
    11,702.72/17,562.27 = 6,765.56/x
  3. Step 3: Cross multiply
    11,702.72x = 17,562.27 × 6,765.56
  4. Step 4: Simplify right side
    11,702.72x = 118,818,503.61
  5. Step 5: Solve for x
    x = 118,818,503.61/11,702.72
  6. Step 6: Final answer
    x = 10,153.07

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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.