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Finding the Fourth Proportional to 6,844.13, 10,266.19 and 1,650

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Solution

The fourth proportional to 6,844.13, 10,266.19 and 1,650 is: 2,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.13 : 10,266.19 = 1,650 : x
  2. Step 2: Convert to fraction form
    6,844.13/10,266.19 = 1,650/x
  3. Step 3: Cross multiply
    6,844.13x = 10,266.19 × 1,650
  4. Step 4: Simplify right side
    6,844.13x = 16,939,213.50
  5. Step 5: Solve for x
    x = 16,939,213.50/6,844.13
  6. Step 6: Final answer
    x = 2,475.00

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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.