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Finding the Fourth Proportional to 5,942.10, 8,215.76 and 5,203.99

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Solution

The fourth proportional to 5,942.10, 8,215.76 and 5,203.99 is: 7,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.10 : 8,215.76 = 5,203.99 : x
  2. Step 2: Convert to fraction form
    5,942.10/8,215.76 = 5,203.99/x
  3. Step 3: Cross multiply
    5,942.10x = 8,215.76 × 5,203.99
  4. Step 4: Simplify right side
    5,942.10x = 42,754,686.32
  5. Step 5: Solve for x
    x = 42,754,686.32/5,942.10
  6. Step 6: Final answer
    x = 7,195.21

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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.