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Finding the Fourth Proportional to 6,032, 9,048.16 and 1,928

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Solution

The fourth proportional to 6,032, 9,048.16 and 1,928 is: 2,892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032 : 9,048.16 = 1,928 : x
  2. Step 2: Convert to fraction form
    6,032/9,048.16 = 1,928/x
  3. Step 3: Cross multiply
    6,032x = 9,048.16 × 1,928
  4. Step 4: Simplify right side
    6,032x = 17,444,852.48
  5. Step 5: Solve for x
    x = 17,444,852.48/6,032
  6. Step 6: Final answer
    x = 2,892.05

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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.