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Finding the Fourth Proportional to 6,569.80, 9,849.15 and 3,058

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Solution

The fourth proportional to 6,569.80, 9,849.15 and 3,058 is: 4,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.80 : 9,849.15 = 3,058 : x
  2. Step 2: Convert to fraction form
    6,569.80/9,849.15 = 3,058/x
  3. Step 3: Cross multiply
    6,569.80x = 9,849.15 × 3,058
  4. Step 4: Simplify right side
    6,569.80x = 30,118,700.70
  5. Step 5: Solve for x
    x = 30,118,700.70/6,569.80
  6. Step 6: Final answer
    x = 4,584.42

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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.