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Finding the Fourth Proportional to 4,006.99, 6,011.07 and 2,364.31

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Solution

The fourth proportional to 4,006.99, 6,011.07 and 2,364.31 is: 3,546.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.99 : 6,011.07 = 2,364.31 : x
  2. Step 2: Convert to fraction form
    4,006.99/6,011.07 = 2,364.31/x
  3. Step 3: Cross multiply
    4,006.99x = 6,011.07 × 2,364.31
  4. Step 4: Simplify right side
    4,006.99x = 14,212,032.91
  5. Step 5: Solve for x
    x = 14,212,032.91/4,006.99
  6. Step 6: Final answer
    x = 3,546.81

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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.