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Finding the Fourth Proportional to 5,097.06, 7,649.03 and 1,810.22

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Solution

The fourth proportional to 5,097.06, 7,649.03 and 1,810.22 is: 2,716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.06 : 7,649.03 = 1,810.22 : x
  2. Step 2: Convert to fraction form
    5,097.06/7,649.03 = 1,810.22/x
  3. Step 3: Cross multiply
    5,097.06x = 7,649.03 × 1,810.22
  4. Step 4: Simplify right side
    5,097.06x = 13,846,393.37
  5. Step 5: Solve for x
    x = 13,846,393.37/5,097.06
  6. Step 6: Final answer
    x = 2,716.55

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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.