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Finding the Fourth Proportional to 9,097.99, 12,555.39 and 5,954.16

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Solution

The fourth proportional to 9,097.99, 12,555.39 and 5,954.16 is: 8,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.99 : 12,555.39 = 5,954.16 : x
  2. Step 2: Convert to fraction form
    9,097.99/12,555.39 = 5,954.16/x
  3. Step 3: Cross multiply
    9,097.99x = 12,555.39 × 5,954.16
  4. Step 4: Simplify right side
    9,097.99x = 74,756,800.92
  5. Step 5: Solve for x
    x = 74,756,800.92/9,097.99
  6. Step 6: Final answer
    x = 8,216.85

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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.