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Finding the Fourth Proportional to 8,500.84, 12,734.76 and 6,749.08

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Solution

The fourth proportional to 8,500.84, 12,734.76 and 6,749.08 is: 10,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.84 : 12,734.76 = 6,749.08 : x
  2. Step 2: Convert to fraction form
    8,500.84/12,734.76 = 6,749.08/x
  3. Step 3: Cross multiply
    8,500.84x = 12,734.76 × 6,749.08
  4. Step 4: Simplify right side
    8,500.84x = 85,947,914.02
  5. Step 5: Solve for x
    x = 85,947,914.02/8,500.84
  6. Step 6: Final answer
    x = 10,110.52

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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.