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Finding the Fourth Proportional to 10,546.76, 15,794.22 and 6,658.76

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Solution

The fourth proportional to 10,546.76, 15,794.22 and 6,658.76 is: 9,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.76 : 15,794.22 = 6,658.76 : x
  2. Step 2: Convert to fraction form
    10,546.76/15,794.22 = 6,658.76/x
  3. Step 3: Cross multiply
    10,546.76x = 15,794.22 × 6,658.76
  4. Step 4: Simplify right side
    10,546.76x = 105,169,920.37
  5. Step 5: Solve for x
    x = 105,169,920.37/10,546.76
  6. Step 6: Final answer
    x = 9,971.78

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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.