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Finding the Fourth Proportional to 5,775.90, 8,648.73 and 4,478.46

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Solution

The fourth proportional to 5,775.90, 8,648.73 and 4,478.46 is: 6,705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.90 : 8,648.73 = 4,478.46 : x
  2. Step 2: Convert to fraction form
    5,775.90/8,648.73 = 4,478.46/x
  3. Step 3: Cross multiply
    5,775.90x = 8,648.73 × 4,478.46
  4. Step 4: Simplify right side
    5,775.90x = 38,732,991.36
  5. Step 5: Solve for x
    x = 38,732,991.36/5,775.90
  6. Step 6: Final answer
    x = 6,705.97

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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.