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Finding the Fourth Proportional to 10,870.30, 16,297.48 and 3,470.50

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Solution

The fourth proportional to 10,870.30, 16,297.48 and 3,470.50 is: 5,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.30 : 16,297.48 = 3,470.50 : x
  2. Step 2: Convert to fraction form
    10,870.30/16,297.48 = 3,470.50/x
  3. Step 3: Cross multiply
    10,870.30x = 16,297.48 × 3,470.50
  4. Step 4: Simplify right side
    10,870.30x = 56,560,327.62
  5. Step 5: Solve for x
    x = 56,560,327.62/10,870.30
  6. Step 6: Final answer
    x = 5,203.20

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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.