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Finding the Fourth Proportional to 12,697.97, 17,523.15 and 7,320.37

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Solution

The fourth proportional to 12,697.97, 17,523.15 and 7,320.37 is: 10,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.97 : 17,523.15 = 7,320.37 : x
  2. Step 2: Convert to fraction form
    12,697.97/17,523.15 = 7,320.37/x
  3. Step 3: Cross multiply
    12,697.97x = 17,523.15 × 7,320.37
  4. Step 4: Simplify right side
    12,697.97x = 128,275,963.60
  5. Step 5: Solve for x
    x = 128,275,963.60/12,697.97
  6. Step 6: Final answer
    x = 10,102.08

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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.