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Finding the Fourth Proportional to 6,590.71, 9,094.84 and 3,758.20

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Solution

The fourth proportional to 6,590.71, 9,094.84 and 3,758.20 is: 5,186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.71 : 9,094.84 = 3,758.20 : x
  2. Step 2: Convert to fraction form
    6,590.71/9,094.84 = 3,758.20/x
  3. Step 3: Cross multiply
    6,590.71x = 9,094.84 × 3,758.20
  4. Step 4: Simplify right side
    6,590.71x = 34,180,227.69
  5. Step 5: Solve for x
    x = 34,180,227.69/6,590.71
  6. Step 6: Final answer
    x = 5,186.12

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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.