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Finding the Fourth Proportional to 4,497.67, 6,206.47 and 2,609.10

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Solution

The fourth proportional to 4,497.67, 6,206.47 and 2,609.10 is: 3,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.67 : 6,206.47 = 2,609.10 : x
  2. Step 2: Convert to fraction form
    4,497.67/6,206.47 = 2,609.10/x
  3. Step 3: Cross multiply
    4,497.67x = 6,206.47 × 2,609.10
  4. Step 4: Simplify right side
    4,497.67x = 16,193,300.88
  5. Step 5: Solve for x
    x = 16,193,300.88/4,497.67
  6. Step 6: Final answer
    x = 3,600.38

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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.