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Finding the Fourth Proportional to 6,089.05, 9,133.82 and 1,929.13

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Solution

The fourth proportional to 6,089.05, 9,133.82 and 1,929.13 is: 2,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.05 : 9,133.82 = 1,929.13 : x
  2. Step 2: Convert to fraction form
    6,089.05/9,133.82 = 1,929.13/x
  3. Step 3: Cross multiply
    6,089.05x = 9,133.82 × 1,929.13
  4. Step 4: Simplify right side
    6,089.05x = 17,620,326.18
  5. Step 5: Solve for x
    x = 17,620,326.18/6,089.05
  6. Step 6: Final answer
    x = 2,893.77

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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.