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Finding the Fourth Proportional to 6,877.93, 9,490.89 and 4,224.91

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Solution

The fourth proportional to 6,877.93, 9,490.89 and 4,224.91 is: 5,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.93 : 9,490.89 = 4,224.91 : x
  2. Step 2: Convert to fraction form
    6,877.93/9,490.89 = 4,224.91/x
  3. Step 3: Cross multiply
    6,877.93x = 9,490.89 × 4,224.91
  4. Step 4: Simplify right side
    6,877.93x = 40,098,156.07
  5. Step 5: Solve for x
    x = 40,098,156.07/6,877.93
  6. Step 6: Final answer
    x = 5,829.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.