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Finding the Fourth Proportional to 6,091.91, 9,138.32 and 1,709.71

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Solution

The fourth proportional to 6,091.91, 9,138.32 and 1,709.71 is: 2,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.91 : 9,138.32 = 1,709.71 : x
  2. Step 2: Convert to fraction form
    6,091.91/9,138.32 = 1,709.71/x
  3. Step 3: Cross multiply
    6,091.91x = 9,138.32 × 1,709.71
  4. Step 4: Simplify right side
    6,091.91x = 15,623,852.10
  5. Step 5: Solve for x
    x = 15,623,852.10/6,091.91
  6. Step 6: Final answer
    x = 2,564.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.