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Finding the Fourth Proportional to 6,089.13, 9,133.63 and 1,929.14

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Solution

The fourth proportional to 6,089.13, 9,133.63 and 1,929.14 is: 2,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.13 : 9,133.63 = 1,929.14 : x
  2. Step 2: Convert to fraction form
    6,089.13/9,133.63 = 1,929.14/x
  3. Step 3: Cross multiply
    6,089.13x = 9,133.63 × 1,929.14
  4. Step 4: Simplify right side
    6,089.13x = 17,620,000.49
  5. Step 5: Solve for x
    x = 17,620,000.49/6,089.13
  6. Step 6: Final answer
    x = 2,893.68

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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.