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Finding the Fourth Proportional to 6,726.96, 9,278.16 and 4,738.08

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Solution

The fourth proportional to 6,726.96, 9,278.16 and 4,738.08 is: 6,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.96 : 9,278.16 = 4,738.08 : x
  2. Step 2: Convert to fraction form
    6,726.96/9,278.16 = 4,738.08/x
  3. Step 3: Cross multiply
    6,726.96x = 9,278.16 × 4,738.08
  4. Step 4: Simplify right side
    6,726.96x = 43,960,664.33
  5. Step 5: Solve for x
    x = 43,960,664.33/6,726.96
  6. Step 6: Final answer
    x = 6,535.00

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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.