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Finding the Fourth Proportional to 5,903.16, 8,149.86 and 5,247.12

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Solution

The fourth proportional to 5,903.16, 8,149.86 and 5,247.12 is: 7,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.16 : 8,149.86 = 5,247.12 : x
  2. Step 2: Convert to fraction form
    5,903.16/8,149.86 = 5,247.12/x
  3. Step 3: Cross multiply
    5,903.16x = 8,149.86 × 5,247.12
  4. Step 4: Simplify right side
    5,903.16x = 42,763,293.40
  5. Step 5: Solve for x
    x = 42,763,293.40/5,903.16
  6. Step 6: Final answer
    x = 7,244.14

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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.