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Finding the Fourth Proportional to 6,586.43, 9,873.88 and 3,075.71

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Solution

The fourth proportional to 6,586.43, 9,873.88 and 3,075.71 is: 4,610.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.43 : 9,873.88 = 3,075.71 : x
  2. Step 2: Convert to fraction form
    6,586.43/9,873.88 = 3,075.71/x
  3. Step 3: Cross multiply
    6,586.43x = 9,873.88 × 3,075.71
  4. Step 4: Simplify right side
    6,586.43x = 30,369,134.40
  5. Step 5: Solve for x
    x = 30,369,134.40/6,586.43
  6. Step 6: Final answer
    x = 4,610.87

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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.