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Finding the Fourth Proportional to 7,746.50, 10,690.13 and 4,209.73

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Solution

The fourth proportional to 7,746.50, 10,690.13 and 4,209.73 is: 5,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.50 : 10,690.13 = 4,209.73 : x
  2. Step 2: Convert to fraction form
    7,746.50/10,690.13 = 4,209.73/x
  3. Step 3: Cross multiply
    7,746.50x = 10,690.13 × 4,209.73
  4. Step 4: Simplify right side
    7,746.50x = 45,002,544.76
  5. Step 5: Solve for x
    x = 45,002,544.76/7,746.50
  6. Step 6: Final answer
    x = 5,809.40

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Double scale
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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.