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Finding the Fourth Proportional to 9,806.52, 14,721.30 and 6,117.24

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Solution

The fourth proportional to 9,806.52, 14,721.30 and 6,117.24 is: 9,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.52 : 14,721.30 = 6,117.24 : x
  2. Step 2: Convert to fraction form
    9,806.52/14,721.30 = 6,117.24/x
  3. Step 3: Cross multiply
    9,806.52x = 14,721.30 × 6,117.24
  4. Step 4: Simplify right side
    9,806.52x = 90,053,725.21
  5. Step 5: Solve for x
    x = 90,053,725.21/9,806.52
  6. Step 6: Final answer
    x = 9,183.05

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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.