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Finding the Fourth Proportional to 5,564.92, 8,347.64 and 3,097.88

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Solution

The fourth proportional to 5,564.92, 8,347.64 and 3,097.88 is: 4,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.92 : 8,347.64 = 3,097.88 : x
  2. Step 2: Convert to fraction form
    5,564.92/8,347.64 = 3,097.88/x
  3. Step 3: Cross multiply
    5,564.92x = 8,347.64 × 3,097.88
  4. Step 4: Simplify right side
    5,564.92x = 25,859,992.38
  5. Step 5: Solve for x
    x = 25,859,992.38/5,564.92
  6. Step 6: Final answer
    x = 4,646.97

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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.