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Finding the Fourth Proportional to 6,465.77, 8,922.80 and 3,633.26

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Solution

The fourth proportional to 6,465.77, 8,922.80 and 3,633.26 is: 5,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.77 : 8,922.80 = 3,633.26 : x
  2. Step 2: Convert to fraction form
    6,465.77/8,922.80 = 3,633.26/x
  3. Step 3: Cross multiply
    6,465.77x = 8,922.80 × 3,633.26
  4. Step 4: Simplify right side
    6,465.77x = 32,418,856.47
  5. Step 5: Solve for x
    x = 32,418,856.47/6,465.77
  6. Step 6: Final answer
    x = 5,013.92

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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.