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Finding the Fourth Proportional to 6,541.92, 9,027.06 and 3,709.08

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Solution

The fourth proportional to 6,541.92, 9,027.06 and 3,709.08 is: 5,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.92 : 9,027.06 = 3,709.08 : x
  2. Step 2: Convert to fraction form
    6,541.92/9,027.06 = 3,709.08/x
  3. Step 3: Cross multiply
    6,541.92x = 9,027.06 × 3,709.08
  4. Step 4: Simplify right side
    6,541.92x = 33,482,087.70
  5. Step 5: Solve for x
    x = 33,482,087.70/6,541.92
  6. Step 6: Final answer
    x = 5,118.08

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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.