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Finding the Fourth Proportional to 9,758.50, 13,463.05 and 6,403.17

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Solution

The fourth proportional to 9,758.50, 13,463.05 and 6,403.17 is: 8,833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.50 : 13,463.05 = 6,403.17 : x
  2. Step 2: Convert to fraction form
    9,758.50/13,463.05 = 6,403.17/x
  3. Step 3: Cross multiply
    9,758.50x = 13,463.05 × 6,403.17
  4. Step 4: Simplify right side
    9,758.50x = 86,206,197.87
  5. Step 5: Solve for x
    x = 86,206,197.87/9,758.50
  6. Step 6: Final answer
    x = 8,833.96

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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.