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Finding the Fourth Proportional to 9,711.99, 13,403.25 and 5,935.87

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Solution

The fourth proportional to 9,711.99, 13,403.25 and 5,935.87 is: 8,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.99 : 13,403.25 = 5,935.87 : x
  2. Step 2: Convert to fraction form
    9,711.99/13,403.25 = 5,935.87/x
  3. Step 3: Cross multiply
    9,711.99x = 13,403.25 × 5,935.87
  4. Step 4: Simplify right side
    9,711.99x = 79,559,949.58
  5. Step 5: Solve for x
    x = 79,559,949.58/9,711.99
  6. Step 6: Final answer
    x = 8,191.93

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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.