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Finding the Fourth Proportional to 9,005, 12,426.74 and 5,026.12

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Solution

The fourth proportional to 9,005, 12,426.74 and 5,026.12 is: 6,935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005 : 12,426.74 = 5,026.12 : x
  2. Step 2: Convert to fraction form
    9,005/12,426.74 = 5,026.12/x
  3. Step 3: Cross multiply
    9,005x = 12,426.74 × 5,026.12
  4. Step 4: Simplify right side
    9,005x = 62,458,286.45
  5. Step 5: Solve for x
    x = 62,458,286.45/9,005
  6. Step 6: Final answer
    x = 6,935.96

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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.