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Finding the Fourth Proportional to 10,270, 15,403.45 and 2,873.50

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Solution

The fourth proportional to 10,270, 15,403.45 and 2,873.50 is: 4,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270 : 15,403.45 = 2,873.50 : x
  2. Step 2: Convert to fraction form
    10,270/15,403.45 = 2,873.50/x
  3. Step 3: Cross multiply
    10,270x = 15,403.45 × 2,873.50
  4. Step 4: Simplify right side
    10,270x = 44,261,813.58
  5. Step 5: Solve for x
    x = 44,261,813.58/10,270
  6. Step 6: Final answer
    x = 4,309.82

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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.