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Finding the Fourth Proportional to 5,313.66, 7,970.50 and 2,195.44

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Solution

The fourth proportional to 5,313.66, 7,970.50 and 2,195.44 is: 3,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.66 : 7,970.50 = 2,195.44 : x
  2. Step 2: Convert to fraction form
    5,313.66/7,970.50 = 2,195.44/x
  3. Step 3: Cross multiply
    5,313.66x = 7,970.50 × 2,195.44
  4. Step 4: Simplify right side
    5,313.66x = 17,498,754.52
  5. Step 5: Solve for x
    x = 17,498,754.52/5,313.66
  6. Step 6: Final answer
    x = 3,293.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.