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Finding the Fourth Proportional to 6,586.74, 9,869.70 and 2,421

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Solution

The fourth proportional to 6,586.74, 9,869.70 and 2,421 is: 3,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.74 : 9,869.70 = 2,421 : x
  2. Step 2: Convert to fraction form
    6,586.74/9,869.70 = 2,421/x
  3. Step 3: Cross multiply
    6,586.74x = 9,869.70 × 2,421
  4. Step 4: Simplify right side
    6,586.74x = 23,894,543.70
  5. Step 5: Solve for x
    x = 23,894,543.70/6,586.74
  6. Step 6: Final answer
    x = 3,627.67

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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.