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Finding the Fourth Proportional to 9,434.32, 13,024.24 and 6,652.24

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Solution

The fourth proportional to 9,434.32, 13,024.24 and 6,652.24 is: 9,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.32 : 13,024.24 = 6,652.24 : x
  2. Step 2: Convert to fraction form
    9,434.32/13,024.24 = 6,652.24/x
  3. Step 3: Cross multiply
    9,434.32x = 13,024.24 × 6,652.24
  4. Step 4: Simplify right side
    9,434.32x = 86,640,370.30
  5. Step 5: Solve for x
    x = 86,640,370.30/9,434.32
  6. Step 6: Final answer
    x = 9,183.53

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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.