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Finding the Fourth Proportional to 7,751.70, 11,627.55 and 6,828.30

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Solution

The fourth proportional to 7,751.70, 11,627.55 and 6,828.30 is: 10,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.70 : 11,627.55 = 6,828.30 : x
  2. Step 2: Convert to fraction form
    7,751.70/11,627.55 = 6,828.30/x
  3. Step 3: Cross multiply
    7,751.70x = 11,627.55 × 6,828.30
  4. Step 4: Simplify right side
    7,751.70x = 79,396,399.67
  5. Step 5: Solve for x
    x = 79,396,399.67/7,751.70
  6. Step 6: Final answer
    x = 10,242.45

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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.