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Finding the Fourth Proportional to 6,366.52, 8,784.01 and 3,813.23

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Solution

The fourth proportional to 6,366.52, 8,784.01 and 3,813.23 is: 5,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.52 : 8,784.01 = 3,813.23 : x
  2. Step 2: Convert to fraction form
    6,366.52/8,784.01 = 3,813.23/x
  3. Step 3: Cross multiply
    6,366.52x = 8,784.01 × 3,813.23
  4. Step 4: Simplify right side
    6,366.52x = 33,495,450.45
  5. Step 5: Solve for x
    x = 33,495,450.45/6,366.52
  6. Step 6: Final answer
    x = 5,261.19

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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.