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Finding the Fourth Proportional to 7,003.80, 10,495.14 and 4,227.42

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Solution

The fourth proportional to 7,003.80, 10,495.14 and 4,227.42 is: 6,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.80 : 10,495.14 = 4,227.42 : x
  2. Step 2: Convert to fraction form
    7,003.80/10,495.14 = 4,227.42/x
  3. Step 3: Cross multiply
    7,003.80x = 10,495.14 × 4,227.42
  4. Step 4: Simplify right side
    7,003.80x = 44,367,364.74
  5. Step 5: Solve for x
    x = 44,367,364.74/7,003.80
  6. Step 6: Final answer
    x = 6,334.76

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1.5x scale

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.