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Finding the Fourth Proportional to 7,214.13, 9,955.49 and 3,902.13

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Solution

The fourth proportional to 7,214.13, 9,955.49 and 3,902.13 is: 5,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.13 : 9,955.49 = 3,902.13 : x
  2. Step 2: Convert to fraction form
    7,214.13/9,955.49 = 3,902.13/x
  3. Step 3: Cross multiply
    7,214.13x = 9,955.49 × 3,902.13
  4. Step 4: Simplify right side
    7,214.13x = 38,847,616.19
  5. Step 5: Solve for x
    x = 38,847,616.19/7,214.13
  6. Step 6: Final answer
    x = 5,384.93

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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.