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Finding the Fourth Proportional to 7,212.60, 9,952.20 and 5,723.82

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Solution

The fourth proportional to 7,212.60, 9,952.20 and 5,723.82 is: 7,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.60 : 9,952.20 = 5,723.82 : x
  2. Step 2: Convert to fraction form
    7,212.60/9,952.20 = 5,723.82/x
  3. Step 3: Cross multiply
    7,212.60x = 9,952.20 × 5,723.82
  4. Step 4: Simplify right side
    7,212.60x = 56,964,601.40
  5. Step 5: Solve for x
    x = 56,964,601.40/7,212.60
  6. Step 6: Final answer
    x = 7,897.93

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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.