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Finding the Fourth Proportional to 7,763.23, 11,655.78 and 7,410.88

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Solution

The fourth proportional to 7,763.23, 11,655.78 and 7,410.88 is: 11,126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.23 : 11,655.78 = 7,410.88 : x
  2. Step 2: Convert to fraction form
    7,763.23/11,655.78 = 7,410.88/x
  3. Step 3: Cross multiply
    7,763.23x = 11,655.78 × 7,410.88
  4. Step 4: Simplify right side
    7,763.23x = 86,379,586.89
  5. Step 5: Solve for x
    x = 86,379,586.89/7,763.23
  6. Step 6: Final answer
    x = 11,126.76

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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.