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Finding the Fourth Proportional to 7,121.30, 9,827.25 and 4,327.70

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Solution

The fourth proportional to 7,121.30, 9,827.25 and 4,327.70 is: 5,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.30 : 9,827.25 = 4,327.70 : x
  2. Step 2: Convert to fraction form
    7,121.30/9,827.25 = 4,327.70/x
  3. Step 3: Cross multiply
    7,121.30x = 9,827.25 × 4,327.70
  4. Step 4: Simplify right side
    7,121.30x = 42,529,389.83
  5. Step 5: Solve for x
    x = 42,529,389.83/7,121.30
  6. Step 6: Final answer
    x = 5,972.14

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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.