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Finding the Fourth Proportional to 7,209.51, 9,954.81 and 5,897.31

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Solution

The fourth proportional to 7,209.51, 9,954.81 and 5,897.31 is: 8,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.51 : 9,954.81 = 5,897.31 : x
  2. Step 2: Convert to fraction form
    7,209.51/9,954.81 = 5,897.31/x
  3. Step 3: Cross multiply
    7,209.51x = 9,954.81 × 5,897.31
  4. Step 4: Simplify right side
    7,209.51x = 58,706,600.56
  5. Step 5: Solve for x
    x = 58,706,600.56/7,209.51
  6. Step 6: Final answer
    x = 8,142.94

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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.