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Finding the Fourth Proportional to 9,296.84, 12,750.98 and 8,247.08

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Solution

The fourth proportional to 9,296.84, 12,750.98 and 8,247.08 is: 11,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.84 : 12,750.98 = 8,247.08 : x
  2. Step 2: Convert to fraction form
    9,296.84/12,750.98 = 8,247.08/x
  3. Step 3: Cross multiply
    9,296.84x = 12,750.98 × 8,247.08
  4. Step 4: Simplify right side
    9,296.84x = 105,158,352.14
  5. Step 5: Solve for x
    x = 105,158,352.14/9,296.84
  6. Step 6: Final answer
    x = 11,311.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.