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Finding the Fourth Proportional to 12,646.95, 18,954.48 and 6,408.53

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Solution

The fourth proportional to 12,646.95, 18,954.48 and 6,408.53 is: 9,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.95 : 18,954.48 = 6,408.53 : x
  2. Step 2: Convert to fraction form
    12,646.95/18,954.48 = 6,408.53/x
  3. Step 3: Cross multiply
    12,646.95x = 18,954.48 × 6,408.53
  4. Step 4: Simplify right side
    12,646.95x = 121,470,424.62
  5. Step 5: Solve for x
    x = 121,470,424.62/12,646.95
  6. Step 6: Final answer
    x = 9,604.72

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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.