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Finding the Fourth Proportional to 7,049.71, 9,719.38 and 6,065.56

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Solution

The fourth proportional to 7,049.71, 9,719.38 and 6,065.56 is: 8,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.71 : 9,719.38 = 6,065.56 : x
  2. Step 2: Convert to fraction form
    7,049.71/9,719.38 = 6,065.56/x
  3. Step 3: Cross multiply
    7,049.71x = 9,719.38 × 6,065.56
  4. Step 4: Simplify right side
    7,049.71x = 58,953,482.55
  5. Step 5: Solve for x
    x = 58,953,482.55/7,049.71
  6. Step 6: Final answer
    x = 8,362.54

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Why These Related Problems?

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