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Finding the Fourth Proportional to 9,793.26, 13,511.42 and 5,543.74

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Solution

The fourth proportional to 9,793.26, 13,511.42 and 5,543.74 is: 7,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.26 : 13,511.42 = 5,543.74 : x
  2. Step 2: Convert to fraction form
    9,793.26/13,511.42 = 5,543.74/x
  3. Step 3: Cross multiply
    9,793.26x = 13,511.42 × 5,543.74
  4. Step 4: Simplify right side
    9,793.26x = 74,903,799.51
  5. Step 5: Solve for x
    x = 74,903,799.51/9,793.26
  6. Step 6: Final answer
    x = 7,648.51

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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.