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Finding the Fourth Proportional to 8,101.68, 11,182.74 and 4,745.22

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Solution

The fourth proportional to 8,101.68, 11,182.74 and 4,745.22 is: 6,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.68 : 11,182.74 = 4,745.22 : x
  2. Step 2: Convert to fraction form
    8,101.68/11,182.74 = 4,745.22/x
  3. Step 3: Cross multiply
    8,101.68x = 11,182.74 × 4,745.22
  4. Step 4: Simplify right side
    8,101.68x = 53,064,561.50
  5. Step 5: Solve for x
    x = 53,064,561.50/8,101.68
  6. Step 6: Final answer
    x = 6,549.82

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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.