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Finding the Fourth Proportional to 6,726.40, 9,284.16 and 6,026.56

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Solution

The fourth proportional to 6,726.40, 9,284.16 and 6,026.56 is: 8,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.40 : 9,284.16 = 6,026.56 : x
  2. Step 2: Convert to fraction form
    6,726.40/9,284.16 = 6,026.56/x
  3. Step 3: Cross multiply
    6,726.40x = 9,284.16 × 6,026.56
  4. Step 4: Simplify right side
    6,726.40x = 55,951,547.29
  5. Step 5: Solve for x
    x = 55,951,547.29/6,726.40
  6. Step 6: Final answer
    x = 8,318.20

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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.