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Finding the Fourth Proportional to 8,289.96, 12,434.95 and 6,826.04

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Solution

The fourth proportional to 8,289.96, 12,434.95 and 6,826.04 is: 10,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.96 : 12,434.95 = 6,826.04 : x
  2. Step 2: Convert to fraction form
    8,289.96/12,434.95 = 6,826.04/x
  3. Step 3: Cross multiply
    8,289.96x = 12,434.95 × 6,826.04
  4. Step 4: Simplify right side
    8,289.96x = 84,881,466.10
  5. Step 5: Solve for x
    x = 84,881,466.10/8,289.96
  6. Step 6: Final answer
    x = 10,239.07

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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.