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Finding the Fourth Proportional to 6,849.16, 9,449.63 and 5,408.95

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Solution

The fourth proportional to 6,849.16, 9,449.63 and 5,408.95 is: 7,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.16 : 9,449.63 = 5,408.95 : x
  2. Step 2: Convert to fraction form
    6,849.16/9,449.63 = 5,408.95/x
  3. Step 3: Cross multiply
    6,849.16x = 9,449.63 × 5,408.95
  4. Step 4: Simplify right side
    6,849.16x = 51,112,525.52
  5. Step 5: Solve for x
    x = 51,112,525.52/6,849.16
  6. Step 6: Final answer
    x = 7,462.60

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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.