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Finding the Fourth Proportional to 5,158.68, 7,736.82 and 1,649.00

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Solution

The fourth proportional to 5,158.68, 7,736.82 and 1,649.00 is: 2,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.68 : 7,736.82 = 1,649.00 : x
  2. Step 2: Convert to fraction form
    5,158.68/7,736.82 = 1,649.00/x
  3. Step 3: Cross multiply
    5,158.68x = 7,736.82 × 1,649.00
  4. Step 4: Simplify right side
    5,158.68x = 12,758,043.84
  5. Step 5: Solve for x
    x = 12,758,043.84/5,158.68
  6. Step 6: Final answer
    x = 2,473.12

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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.