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Finding the Fourth Proportional to 9,716.99, 13,409.10 and 5,468.13

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Solution

The fourth proportional to 9,716.99, 13,409.10 and 5,468.13 is: 7,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.99 : 13,409.10 = 5,468.13 : x
  2. Step 2: Convert to fraction form
    9,716.99/13,409.10 = 5,468.13/x
  3. Step 3: Cross multiply
    9,716.99x = 13,409.10 × 5,468.13
  4. Step 4: Simplify right side
    9,716.99x = 73,322,701.98
  5. Step 5: Solve for x
    x = 73,322,701.98/9,716.99
  6. Step 6: Final answer
    x = 7,545.83

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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.