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Finding the Fourth Proportional to 6,170.16, 9,275.31 and 4,950.93

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Solution

The fourth proportional to 6,170.16, 9,275.31 and 4,950.93 is: 7,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.16 : 9,275.31 = 4,950.93 : x
  2. Step 2: Convert to fraction form
    6,170.16/9,275.31 = 4,950.93/x
  3. Step 3: Cross multiply
    6,170.16x = 9,275.31 × 4,950.93
  4. Step 4: Simplify right side
    6,170.16x = 45,921,410.54
  5. Step 5: Solve for x
    x = 45,921,410.54/6,170.16
  6. Step 6: Final answer
    x = 7,442.50

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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.