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Finding the Fourth Proportional to 6,590.97, 9,095.20 and 3,758.41

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Solution

The fourth proportional to 6,590.97, 9,095.20 and 3,758.41 is: 5,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.97 : 9,095.20 = 3,758.41 : x
  2. Step 2: Convert to fraction form
    6,590.97/9,095.20 = 3,758.41/x
  3. Step 3: Cross multiply
    6,590.97x = 9,095.20 × 3,758.41
  4. Step 4: Simplify right side
    6,590.97x = 34,183,490.63
  5. Step 5: Solve for x
    x = 34,183,490.63/6,590.97
  6. Step 6: Final answer
    x = 5,186.41

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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.