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Finding the Fourth Proportional to 6,598, 9,105.24 and 3,803.50

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Solution

The fourth proportional to 6,598, 9,105.24 and 3,803.50 is: 5,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598 : 9,105.24 = 3,803.50 : x
  2. Step 2: Convert to fraction form
    6,598/9,105.24 = 3,803.50/x
  3. Step 3: Cross multiply
    6,598x = 9,105.24 × 3,803.50
  4. Step 4: Simplify right side
    6,598x = 34,631,780.34
  5. Step 5: Solve for x
    x = 34,631,780.34/6,598
  6. Step 6: Final answer
    x = 5,248.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.