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Finding the Fourth Proportional to 7,194.83, 9,926.91 and 4,211.39

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Solution

The fourth proportional to 7,194.83, 9,926.91 and 4,211.39 is: 5,810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.83 : 9,926.91 = 4,211.39 : x
  2. Step 2: Convert to fraction form
    7,194.83/9,926.91 = 4,211.39/x
  3. Step 3: Cross multiply
    7,194.83x = 9,926.91 × 4,211.39
  4. Step 4: Simplify right side
    7,194.83x = 41,806,114.32
  5. Step 5: Solve for x
    x = 41,806,114.32/7,194.83
  6. Step 6: Final answer
    x = 5,810.58

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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.