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Finding the Fourth Proportional to 7,214.25, 9,955.67 and 3,902.25

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Solution

The fourth proportional to 7,214.25, 9,955.67 and 3,902.25 is: 5,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.25 : 9,955.67 = 3,902.25 : x
  2. Step 2: Convert to fraction form
    7,214.25/9,955.67 = 3,902.25/x
  3. Step 3: Cross multiply
    7,214.25x = 9,955.67 × 3,902.25
  4. Step 4: Simplify right side
    7,214.25x = 38,849,493.75
  5. Step 5: Solve for x
    x = 38,849,493.75/7,214.25
  6. Step 6: Final answer
    x = 5,385.11

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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.