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Finding the Fourth Proportional to 12,322.92, 17,005.86 and 6,734.12

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Solution

The fourth proportional to 12,322.92, 17,005.86 and 6,734.12 is: 9,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.92 : 17,005.86 = 6,734.12 : x
  2. Step 2: Convert to fraction form
    12,322.92/17,005.86 = 6,734.12/x
  3. Step 3: Cross multiply
    12,322.92x = 17,005.86 × 6,734.12
  4. Step 4: Simplify right side
    12,322.92x = 114,519,501.94
  5. Step 5: Solve for x
    x = 114,519,501.94/12,322.92
  6. Step 6: Final answer
    x = 9,293.21

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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.