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Finding the Fourth Proportional to 12,705.22, 17,532.34 and 7,039.44

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Solution

The fourth proportional to 12,705.22, 17,532.34 and 7,039.44 is: 9,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.22 : 17,532.34 = 7,039.44 : x
  2. Step 2: Convert to fraction form
    12,705.22/17,532.34 = 7,039.44/x
  3. Step 3: Cross multiply
    12,705.22x = 17,532.34 × 7,039.44
  4. Step 4: Simplify right side
    12,705.22x = 123,417,901.96
  5. Step 5: Solve for x
    x = 123,417,901.96/12,705.22
  6. Step 6: Final answer
    x = 9,713.95

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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.