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Finding the Fourth Proportional to 4,606.04, 6,909.06 and 3,971.82

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Solution

The fourth proportional to 4,606.04, 6,909.06 and 3,971.82 is: 5,957.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.04 : 6,909.06 = 3,971.82 : x
  2. Step 2: Convert to fraction form
    4,606.04/6,909.06 = 3,971.82/x
  3. Step 3: Cross multiply
    4,606.04x = 6,909.06 × 3,971.82
  4. Step 4: Simplify right side
    4,606.04x = 27,441,542.69
  5. Step 5: Solve for x
    x = 27,441,542.69/4,606.04
  6. Step 6: Final answer
    x = 5,957.73

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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.