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Finding the Fourth Proportional to 6,599.08, 9,105.78 and 4,115.08

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Solution

The fourth proportional to 6,599.08, 9,105.78 and 4,115.08 is: 5,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.08 : 9,105.78 = 4,115.08 : x
  2. Step 2: Convert to fraction form
    6,599.08/9,105.78 = 4,115.08/x
  3. Step 3: Cross multiply
    6,599.08x = 9,105.78 × 4,115.08
  4. Step 4: Simplify right side
    6,599.08x = 37,471,013.16
  5. Step 5: Solve for x
    x = 37,471,013.16/6,599.08
  6. Step 6: Final answer
    x = 5,678.22

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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.