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Finding the Fourth Proportional to 5,162.68, 7,746.84 and 2,240.98

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Solution

The fourth proportional to 5,162.68, 7,746.84 and 2,240.98 is: 3,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.68 : 7,746.84 = 2,240.98 : x
  2. Step 2: Convert to fraction form
    5,162.68/7,746.84 = 2,240.98/x
  3. Step 3: Cross multiply
    5,162.68x = 7,746.84 × 2,240.98
  4. Step 4: Simplify right side
    5,162.68x = 17,360,513.50
  5. Step 5: Solve for x
    x = 17,360,513.50/5,162.68
  6. Step 6: Final answer
    x = 3,362.69

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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.