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Finding the Fourth Proportional to 6,015.21, 9,023 and 1,632.76

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Solution

The fourth proportional to 6,015.21, 9,023 and 1,632.76 is: 2,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,015.21 : 9,023 = 1,632.76 : x
  2. Step 2: Convert to fraction form
    6,015.21/9,023 = 1,632.76/x
  3. Step 3: Cross multiply
    6,015.21x = 9,023 × 1,632.76
  4. Step 4: Simplify right side
    6,015.21x = 14,732,393.48
  5. Step 5: Solve for x
    x = 14,732,393.48/6,015.21
  6. Step 6: Final answer
    x = 2,449.19

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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.