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Finding the Fourth Proportional to 7,207.50, 9,946.36 and 3,895.50

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Solution

The fourth proportional to 7,207.50, 9,946.36 and 3,895.50 is: 5,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.50 : 9,946.36 = 3,895.50 : x
  2. Step 2: Convert to fraction form
    7,207.50/9,946.36 = 3,895.50/x
  3. Step 3: Cross multiply
    7,207.50x = 9,946.36 × 3,895.50
  4. Step 4: Simplify right side
    7,207.50x = 38,746,045.38
  5. Step 5: Solve for x
    x = 38,746,045.38/7,207.50
  6. Step 6: Final answer
    x = 5,375.80

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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.