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Finding the Fourth Proportional to 6,570.68, 9,856.40 and 2,672.96

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Solution

The fourth proportional to 6,570.68, 9,856.40 and 2,672.96 is: 4,009.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.68 : 9,856.40 = 2,672.96 : x
  2. Step 2: Convert to fraction form
    6,570.68/9,856.40 = 2,672.96/x
  3. Step 3: Cross multiply
    6,570.68x = 9,856.40 × 2,672.96
  4. Step 4: Simplify right side
    6,570.68x = 26,345,762.94
  5. Step 5: Solve for x
    x = 26,345,762.94/6,570.68
  6. Step 6: Final answer
    x = 4,009.59

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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.