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Finding the Fourth Proportional to 6,465.75, 8,923.82 and 3,813.81

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Solution

The fourth proportional to 6,465.75, 8,923.82 and 3,813.81 is: 5,263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.75 : 8,923.82 = 3,813.81 : x
  2. Step 2: Convert to fraction form
    6,465.75/8,923.82 = 3,813.81/x
  3. Step 3: Cross multiply
    6,465.75x = 8,923.82 × 3,813.81
  4. Step 4: Simplify right side
    6,465.75x = 34,033,734.89
  5. Step 5: Solve for x
    x = 34,033,734.89/6,465.75
  6. Step 6: Final answer
    x = 5,263.69

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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.