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Finding the Fourth Proportional to 19,098.64, 28,648.14 and 5,950

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Solution

The fourth proportional to 19,098.64, 28,648.14 and 5,950 is: 8,925.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,098.64 : 28,648.14 = 5,950 : x
  2. Step 2: Convert to fraction form
    19,098.64/28,648.14 = 5,950/x
  3. Step 3: Cross multiply
    19,098.64x = 28,648.14 × 5,950
  4. Step 4: Simplify right side
    19,098.64x = 170,456,433
  5. Step 5: Solve for x
    x = 170,456,433/19,098.64
  6. Step 6: Final answer
    x = 8,925.06

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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.