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Finding the Fourth Proportional to 9,806.10, 14,709.15 and 4,265.70

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Solution

The fourth proportional to 9,806.10, 14,709.15 and 4,265.70 is: 6,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.10 : 14,709.15 = 4,265.70 : x
  2. Step 2: Convert to fraction form
    9,806.10/14,709.15 = 4,265.70/x
  3. Step 3: Cross multiply
    9,806.10x = 14,709.15 × 4,265.70
  4. Step 4: Simplify right side
    9,806.10x = 62,744,821.16
  5. Step 5: Solve for x
    x = 62,744,821.16/9,806.10
  6. Step 6: Final answer
    x = 6,398.55

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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.