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Finding the Fourth Proportional to 6,401.68, 9,598.56 and 2,501.50

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Solution

The fourth proportional to 6,401.68, 9,598.56 and 2,501.50 is: 3,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.68 : 9,598.56 = 2,501.50 : x
  2. Step 2: Convert to fraction form
    6,401.68/9,598.56 = 2,501.50/x
  3. Step 3: Cross multiply
    6,401.68x = 9,598.56 × 2,501.50
  4. Step 4: Simplify right side
    6,401.68x = 24,010,797.84
  5. Step 5: Solve for x
    x = 24,010,797.84/6,401.68
  6. Step 6: Final answer
    x = 3,750.70

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Why These Related Problems?

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