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Finding the Fourth Proportional to 12,646.95, 18,972.46 and 4,750.06

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Solution

The fourth proportional to 12,646.95, 18,972.46 and 4,750.06 is: 7,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.95 : 18,972.46 = 4,750.06 : x
  2. Step 2: Convert to fraction form
    12,646.95/18,972.46 = 4,750.06/x
  3. Step 3: Cross multiply
    12,646.95x = 18,972.46 × 4,750.06
  4. Step 4: Simplify right side
    12,646.95x = 90,120,317.43
  5. Step 5: Solve for x
    x = 90,120,317.43/12,646.95
  6. Step 6: Final answer
    x = 7,125.85

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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.