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Finding the Fourth Proportional to 7,207.09, 9,946.25 and 4,063.48

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Solution

The fourth proportional to 7,207.09, 9,946.25 and 4,063.48 is: 5,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.09 : 9,946.25 = 4,063.48 : x
  2. Step 2: Convert to fraction form
    7,207.09/9,946.25 = 4,063.48/x
  3. Step 3: Cross multiply
    7,207.09x = 9,946.25 × 4,063.48
  4. Step 4: Simplify right side
    7,207.09x = 40,416,387.95
  5. Step 5: Solve for x
    x = 40,416,387.95/7,207.09
  6. Step 6: Final answer
    x = 5,607.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.