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Finding the Fourth Proportional to 6,826.08, 9,420.24 and 5,335.68

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Solution

The fourth proportional to 6,826.08, 9,420.24 and 5,335.68 is: 7,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.08 : 9,420.24 = 5,335.68 : x
  2. Step 2: Convert to fraction form
    6,826.08/9,420.24 = 5,335.68/x
  3. Step 3: Cross multiply
    6,826.08x = 9,420.24 × 5,335.68
  4. Step 4: Simplify right side
    6,826.08x = 50,263,386.16
  5. Step 5: Solve for x
    x = 50,263,386.16/6,826.08
  6. Step 6: Final answer
    x = 7,363.43

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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.