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Finding the Fourth Proportional to 5,991.78, 8,973.66 and 5,784.12

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Solution

The fourth proportional to 5,991.78, 8,973.66 and 5,784.12 is: 8,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991.78 : 8,973.66 = 5,784.12 : x
  2. Step 2: Convert to fraction form
    5,991.78/8,973.66 = 5,784.12/x
  3. Step 3: Cross multiply
    5,991.78x = 8,973.66 × 5,784.12
  4. Step 4: Simplify right side
    5,991.78x = 51,904,726.28
  5. Step 5: Solve for x
    x = 51,904,726.28/5,991.78
  6. Step 6: Final answer
    x = 8,662.66

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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.