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Finding the Fourth Proportional to 6,578.72, 9,076.04 and 4,188.08

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Solution

The fourth proportional to 6,578.72, 9,076.04 and 4,188.08 is: 5,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.72 : 9,076.04 = 4,188.08 : x
  2. Step 2: Convert to fraction form
    6,578.72/9,076.04 = 4,188.08/x
  3. Step 3: Cross multiply
    6,578.72x = 9,076.04 × 4,188.08
  4. Step 4: Simplify right side
    6,578.72x = 38,011,115.28
  5. Step 5: Solve for x
    x = 38,011,115.28/6,578.72
  6. Step 6: Final answer
    x = 5,777.89

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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.