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Finding the Fourth Proportional to 10,826.75, 16,239.08 and 7,339.17

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Solution

The fourth proportional to 10,826.75, 16,239.08 and 7,339.17 is: 11,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826.75 : 16,239.08 = 7,339.17 : x
  2. Step 2: Convert to fraction form
    10,826.75/16,239.08 = 7,339.17/x
  3. Step 3: Cross multiply
    10,826.75x = 16,239.08 × 7,339.17
  4. Step 4: Simplify right side
    10,826.75x = 119,181,332.07
  5. Step 5: Solve for x
    x = 119,181,332.07/10,826.75
  6. Step 6: Final answer
    x = 11,008.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.