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Finding the Fourth Proportional to 6,502.60, 9,746.91 and 2,806.57

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Solution

The fourth proportional to 6,502.60, 9,746.91 and 2,806.57 is: 4,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.60 : 9,746.91 = 2,806.57 : x
  2. Step 2: Convert to fraction form
    6,502.60/9,746.91 = 2,806.57/x
  3. Step 3: Cross multiply
    6,502.60x = 9,746.91 × 2,806.57
  4. Step 4: Simplify right side
    6,502.60x = 27,355,385.20
  5. Step 5: Solve for x
    x = 27,355,385.20/6,502.60
  6. Step 6: Final answer
    x = 4,206.84

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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.