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Finding the Fourth Proportional to 8,705.70, 12,014.91 and 5,734.76

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Solution

The fourth proportional to 8,705.70, 12,014.91 and 5,734.76 is: 7,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.70 : 12,014.91 = 5,734.76 : x
  2. Step 2: Convert to fraction form
    8,705.70/12,014.91 = 5,734.76/x
  3. Step 3: Cross multiply
    8,705.70x = 12,014.91 × 5,734.76
  4. Step 4: Simplify right side
    8,705.70x = 68,902,565.20
  5. Step 5: Solve for x
    x = 68,902,565.20/8,705.70
  6. Step 6: Final answer
    x = 7,914.65

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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.