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Finding the Fourth Proportional to 6,805.20, 10,207.80 and 4,472.40

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Solution

The fourth proportional to 6,805.20, 10,207.80 and 4,472.40 is: 6,708.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.20 : 10,207.80 = 4,472.40 : x
  2. Step 2: Convert to fraction form
    6,805.20/10,207.80 = 4,472.40/x
  3. Step 3: Cross multiply
    6,805.20x = 10,207.80 × 4,472.40
  4. Step 4: Simplify right side
    6,805.20x = 45,653,364.72
  5. Step 5: Solve for x
    x = 45,653,364.72/6,805.20
  6. Step 6: Final answer
    x = 6,708.60

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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.