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Finding the Fourth Proportional to 5,849.28, 8,698.70 and 5,664.70

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Solution

The fourth proportional to 5,849.28, 8,698.70 and 5,664.70 is: 8,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.28 : 8,698.70 = 5,664.70 : x
  2. Step 2: Convert to fraction form
    5,849.28/8,698.70 = 5,664.70/x
  3. Step 3: Cross multiply
    5,849.28x = 8,698.70 × 5,664.70
  4. Step 4: Simplify right side
    5,849.28x = 49,275,525.89
  5. Step 5: Solve for x
    x = 49,275,525.89/5,849.28
  6. Step 6: Final answer
    x = 8,424.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.