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Finding the Fourth Proportional to 9,422, 13,002.36 and 5,230.16

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Solution

The fourth proportional to 9,422, 13,002.36 and 5,230.16 is: 7,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422 : 13,002.36 = 5,230.16 : x
  2. Step 2: Convert to fraction form
    9,422/13,002.36 = 5,230.16/x
  3. Step 3: Cross multiply
    9,422x = 13,002.36 × 5,230.16
  4. Step 4: Simplify right side
    9,422x = 68,004,423.18
  5. Step 5: Solve for x
    x = 68,004,423.18/9,422
  6. Step 6: Final answer
    x = 7,217.62

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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.