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Finding the Fourth Proportional to 7,754.99, 11,627.84 and 5,259.24

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Solution

The fourth proportional to 7,754.99, 11,627.84 and 5,259.24 is: 7,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.99 : 11,627.84 = 5,259.24 : x
  2. Step 2: Convert to fraction form
    7,754.99/11,627.84 = 5,259.24/x
  3. Step 3: Cross multiply
    7,754.99x = 11,627.84 × 5,259.24
  4. Step 4: Simplify right side
    7,754.99x = 61,153,574.95
  5. Step 5: Solve for x
    x = 61,153,574.95/7,754.99
  6. Step 6: Final answer
    x = 7,885.71

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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.