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Finding the Fourth Proportional to 8,446.61, 11,657.02 and 4,910.51

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Solution

The fourth proportional to 8,446.61, 11,657.02 and 4,910.51 is: 6,776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.61 : 11,657.02 = 4,910.51 : x
  2. Step 2: Convert to fraction form
    8,446.61/11,657.02 = 4,910.51/x
  3. Step 3: Cross multiply
    8,446.61x = 11,657.02 × 4,910.51
  4. Step 4: Simplify right side
    8,446.61x = 57,241,830.44
  5. Step 5: Solve for x
    x = 57,241,830.44/8,446.61
  6. Step 6: Final answer
    x = 6,776.90

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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.