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Finding the Fourth Proportional to 12,325.25, 17,008.31 and 7,553.14

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Solution

The fourth proportional to 12,325.25, 17,008.31 and 7,553.14 is: 10,423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325.25 : 17,008.31 = 7,553.14 : x
  2. Step 2: Convert to fraction form
    12,325.25/17,008.31 = 7,553.14/x
  3. Step 3: Cross multiply
    12,325.25x = 17,008.31 × 7,553.14
  4. Step 4: Simplify right side
    12,325.25x = 128,466,122.96
  5. Step 5: Solve for x
    x = 128,466,122.96/12,325.25
  6. Step 6: Final answer
    x = 10,423.00

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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.