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Finding the Fourth Proportional to 6,816.42, 9,383.85 and 6,502.95

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Solution

The fourth proportional to 6,816.42, 9,383.85 and 6,502.95 is: 8,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.42 : 9,383.85 = 6,502.95 : x
  2. Step 2: Convert to fraction form
    6,816.42/9,383.85 = 6,502.95/x
  3. Step 3: Cross multiply
    6,816.42x = 9,383.85 × 6,502.95
  4. Step 4: Simplify right side
    6,816.42x = 61,022,707.36
  5. Step 5: Solve for x
    x = 61,022,707.36/6,816.42
  6. Step 6: Final answer
    x = 8,952.31

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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.