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Finding the Fourth Proportional to 9,616.75, 13,271.12 and 5,200.75

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Solution

The fourth proportional to 9,616.75, 13,271.12 and 5,200.75 is: 7,177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.75 : 13,271.12 = 5,200.75 : x
  2. Step 2: Convert to fraction form
    9,616.75/13,271.12 = 5,200.75/x
  3. Step 3: Cross multiply
    9,616.75x = 13,271.12 × 5,200.75
  4. Step 4: Simplify right side
    9,616.75x = 69,019,751.34
  5. Step 5: Solve for x
    x = 69,019,751.34/9,616.75
  6. Step 6: Final answer
    x = 7,177.04

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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.