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Finding the Fourth Proportional to 6,005.91, 9,000.67 and 3,810.71

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Solution

The fourth proportional to 6,005.91, 9,000.67 and 3,810.71 is: 5,710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.91 : 9,000.67 = 3,810.71 : x
  2. Step 2: Convert to fraction form
    6,005.91/9,000.67 = 3,810.71/x
  3. Step 3: Cross multiply
    6,005.91x = 9,000.67 × 3,810.71
  4. Step 4: Simplify right side
    6,005.91x = 34,298,943.18
  5. Step 5: Solve for x
    x = 34,298,943.18/6,005.91
  6. Step 6: Final answer
    x = 5,710.87

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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.