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Finding the Fourth Proportional to 6,207.75, 9,311.64 and 1,590.75

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Solution

The fourth proportional to 6,207.75, 9,311.64 and 1,590.75 is: 2,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.75 : 9,311.64 = 1,590.75 : x
  2. Step 2: Convert to fraction form
    6,207.75/9,311.64 = 1,590.75/x
  3. Step 3: Cross multiply
    6,207.75x = 9,311.64 × 1,590.75
  4. Step 4: Simplify right side
    6,207.75x = 14,812,491.33
  5. Step 5: Solve for x
    x = 14,812,491.33/6,207.75
  6. Step 6: Final answer
    x = 2,386.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.