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Finding the Fourth Proportional to 7,391.58, 10,204.14 and 5,709.22

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Solution

The fourth proportional to 7,391.58, 10,204.14 and 5,709.22 is: 7,881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.58 : 10,204.14 = 5,709.22 : x
  2. Step 2: Convert to fraction form
    7,391.58/10,204.14 = 5,709.22/x
  3. Step 3: Cross multiply
    7,391.58x = 10,204.14 × 5,709.22
  4. Step 4: Simplify right side
    7,391.58x = 58,257,680.17
  5. Step 5: Solve for x
    x = 58,257,680.17/7,391.58
  6. Step 6: Final answer
    x = 7,881.63

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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.