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Finding the Fourth Proportional to 5,698.91, 7,865.48 and 4,211.15

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Solution

The fourth proportional to 5,698.91, 7,865.48 and 4,211.15 is: 5,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.91 : 7,865.48 = 4,211.15 : x
  2. Step 2: Convert to fraction form
    5,698.91/7,865.48 = 4,211.15/x
  3. Step 3: Cross multiply
    5,698.91x = 7,865.48 × 4,211.15
  4. Step 4: Simplify right side
    5,698.91x = 33,122,687.30
  5. Step 5: Solve for x
    x = 33,122,687.30/5,698.91
  6. Step 6: Final answer
    x = 5,812.11

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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.