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Finding the Fourth Proportional to 6,088.43, 9,133.50 and 1,928

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Solution

The fourth proportional to 6,088.43, 9,133.50 and 1,928 is: 2,892.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,088.43 : 9,133.50 = 1,928 : x
  2. Step 2: Convert to fraction form
    6,088.43/9,133.50 = 1,928/x
  3. Step 3: Cross multiply
    6,088.43x = 9,133.50 × 1,928
  4. Step 4: Simplify right side
    6,088.43x = 17,609,388
  5. Step 5: Solve for x
    x = 17,609,388/6,088.43
  6. Step 6: Final answer
    x = 2,892.27

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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.