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Finding the Fourth Proportional to 4,642.01, 6,962.07 and 3,866.98

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Solution

The fourth proportional to 4,642.01, 6,962.07 and 3,866.98 is: 5,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.01 : 6,962.07 = 3,866.98 : x
  2. Step 2: Convert to fraction form
    4,642.01/6,962.07 = 3,866.98/x
  3. Step 3: Cross multiply
    4,642.01x = 6,962.07 × 3,866.98
  4. Step 4: Simplify right side
    4,642.01x = 26,922,185.45
  5. Step 5: Solve for x
    x = 26,922,185.45/4,642.01
  6. Step 6: Final answer
    x = 5,799.68

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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.