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Finding the Fourth Proportional to 7,207.16, 9,946.52 and 4,063.96

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Solution

The fourth proportional to 7,207.16, 9,946.52 and 4,063.96 is: 5,608.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.16 : 9,946.52 = 4,063.96 : x
  2. Step 2: Convert to fraction form
    7,207.16/9,946.52 = 4,063.96/x
  3. Step 3: Cross multiply
    7,207.16x = 9,946.52 × 4,063.96
  4. Step 4: Simplify right side
    7,207.16x = 40,422,259.42
  5. Step 5: Solve for x
    x = 40,422,259.42/7,207.16
  6. Step 6: Final answer
    x = 5,608.63

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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.