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Finding the Fourth Proportional to 7,667.70, 11,512.35 and 4,751.70

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Solution

The fourth proportional to 7,667.70, 11,512.35 and 4,751.70 is: 7,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.70 : 11,512.35 = 4,751.70 : x
  2. Step 2: Convert to fraction form
    7,667.70/11,512.35 = 4,751.70/x
  3. Step 3: Cross multiply
    7,667.70x = 11,512.35 × 4,751.70
  4. Step 4: Simplify right side
    7,667.70x = 54,703,233.50
  5. Step 5: Solve for x
    x = 54,703,233.50/7,667.70
  6. Step 6: Final answer
    x = 7,134.24

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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.