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Finding the Fourth Proportional to 6,642.81, 9,155.84 and 4,649.81

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Solution

The fourth proportional to 6,642.81, 9,155.84 and 4,649.81 is: 6,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.81 : 9,155.84 = 4,649.81 : x
  2. Step 2: Convert to fraction form
    6,642.81/9,155.84 = 4,649.81/x
  3. Step 3: Cross multiply
    6,642.81x = 9,155.84 × 4,649.81
  4. Step 4: Simplify right side
    6,642.81x = 42,572,847.36
  5. Step 5: Solve for x
    x = 42,572,847.36/6,642.81
  6. Step 6: Final answer
    x = 6,408.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.