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Finding the Fourth Proportional to 12,625.92, 17,424 and 7,036.32

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Solution

The fourth proportional to 12,625.92, 17,424 and 7,036.32 is: 9,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,625.92 : 17,424 = 7,036.32 : x
  2. Step 2: Convert to fraction form
    12,625.92/17,424 = 7,036.32/x
  3. Step 3: Cross multiply
    12,625.92x = 17,424 × 7,036.32
  4. Step 4: Simplify right side
    12,625.92x = 122,600,839.68
  5. Step 5: Solve for x
    x = 122,600,839.68/12,625.92
  6. Step 6: Final answer
    x = 9,710.25

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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.