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Finding the Fourth Proportional to 9,772.03, 13,480.19 and 5,944.83

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Solution

The fourth proportional to 9,772.03, 13,480.19 and 5,944.83 is: 8,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.03 : 13,480.19 = 5,944.83 : x
  2. Step 2: Convert to fraction form
    9,772.03/13,480.19 = 5,944.83/x
  3. Step 3: Cross multiply
    9,772.03x = 13,480.19 × 5,944.83
  4. Step 4: Simplify right side
    9,772.03x = 80,137,423.06
  5. Step 5: Solve for x
    x = 80,137,423.06/9,772.03
  6. Step 6: Final answer
    x = 8,200.70

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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.