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Finding the Fourth Proportional to 5,134.88, 7,696.24 and 1,846.24

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Solution

The fourth proportional to 5,134.88, 7,696.24 and 1,846.24 is: 2,767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.88 : 7,696.24 = 1,846.24 : x
  2. Step 2: Convert to fraction form
    5,134.88/7,696.24 = 1,846.24/x
  3. Step 3: Cross multiply
    5,134.88x = 7,696.24 × 1,846.24
  4. Step 4: Simplify right side
    5,134.88x = 14,209,106.14
  5. Step 5: Solve for x
    x = 14,209,106.14/5,134.88
  6. Step 6: Final answer
    x = 2,767.17

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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.