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Finding the Fourth Proportional to 13,049.88, 19,583.72 and 5,259.28

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Solution

The fourth proportional to 13,049.88, 19,583.72 and 5,259.28 is: 7,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.88 : 19,583.72 = 5,259.28 : x
  2. Step 2: Convert to fraction form
    13,049.88/19,583.72 = 5,259.28/x
  3. Step 3: Cross multiply
    13,049.88x = 19,583.72 × 5,259.28
  4. Step 4: Simplify right side
    13,049.88x = 102,996,266.92
  5. Step 5: Solve for x
    x = 102,996,266.92/13,049.88
  6. Step 6: Final answer
    x = 7,892.51

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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.