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Finding the Fourth Proportional to 9,282.02, 12,809.20 and 5,090.30

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Solution

The fourth proportional to 9,282.02, 12,809.20 and 5,090.30 is: 7,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.02 : 12,809.20 = 5,090.30 : x
  2. Step 2: Convert to fraction form
    9,282.02/12,809.20 = 5,090.30/x
  3. Step 3: Cross multiply
    9,282.02x = 12,809.20 × 5,090.30
  4. Step 4: Simplify right side
    9,282.02x = 65,202,593.99
  5. Step 5: Solve for x
    x = 65,202,593.99/9,282.02
  6. Step 6: Final answer
    x = 7,024.62

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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.