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Finding the Fourth Proportional to 7,211.94, 9,952.40 and 4,068.14

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Solution

The fourth proportional to 7,211.94, 9,952.40 and 4,068.14 is: 5,613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.94 : 9,952.40 = 4,068.14 : x
  2. Step 2: Convert to fraction form
    7,211.94/9,952.40 = 4,068.14/x
  3. Step 3: Cross multiply
    7,211.94x = 9,952.40 × 4,068.14
  4. Step 4: Simplify right side
    7,211.94x = 40,487,756.54
  5. Step 5: Solve for x
    x = 40,487,756.54/7,211.94
  6. Step 6: Final answer
    x = 5,613.99

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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.