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Finding the Fourth Proportional to 8,484.82, 11,706.42 and 4,945.52

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Solution

The fourth proportional to 8,484.82, 11,706.42 and 4,945.52 is: 6,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.82 : 11,706.42 = 4,945.52 : x
  2. Step 2: Convert to fraction form
    8,484.82/11,706.42 = 4,945.52/x
  3. Step 3: Cross multiply
    8,484.82x = 11,706.42 × 4,945.52
  4. Step 4: Simplify right side
    8,484.82x = 57,894,382.05
  5. Step 5: Solve for x
    x = 57,894,382.05/8,484.82
  6. Step 6: Final answer
    x = 6,823.29

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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.