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Finding the Fourth Proportional to 6,501.78, 9,750.55 and 2,118.06

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Solution

The fourth proportional to 6,501.78, 9,750.55 and 2,118.06 is: 3,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.78 : 9,750.55 = 2,118.06 : x
  2. Step 2: Convert to fraction form
    6,501.78/9,750.55 = 2,118.06/x
  3. Step 3: Cross multiply
    6,501.78x = 9,750.55 × 2,118.06
  4. Step 4: Simplify right side
    6,501.78x = 20,652,249.93
  5. Step 5: Solve for x
    x = 20,652,249.93/6,501.78
  6. Step 6: Final answer
    x = 3,176.40

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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.