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Finding the Fourth Proportional to 7,195.81, 9,930.93 and 4,211.47

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Solution

The fourth proportional to 7,195.81, 9,930.93 and 4,211.47 is: 5,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.81 : 9,930.93 = 4,211.47 : x
  2. Step 2: Convert to fraction form
    7,195.81/9,930.93 = 4,211.47/x
  3. Step 3: Cross multiply
    7,195.81x = 9,930.93 × 4,211.47
  4. Step 4: Simplify right side
    7,195.81x = 41,823,813.77
  5. Step 5: Solve for x
    x = 41,823,813.77/7,195.81
  6. Step 6: Final answer
    x = 5,812.25

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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.