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Finding the Fourth Proportional to 12,994.08, 19,494 and 7,147.68

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Solution

The fourth proportional to 12,994.08, 19,494 and 7,147.68 is: 10,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.08 : 19,494 = 7,147.68 : x
  2. Step 2: Convert to fraction form
    12,994.08/19,494 = 7,147.68/x
  3. Step 3: Cross multiply
    12,994.08x = 19,494 × 7,147.68
  4. Step 4: Simplify right side
    12,994.08x = 139,336,873.92
  5. Step 5: Solve for x
    x = 139,336,873.92/12,994.08
  6. Step 6: Final answer
    x = 10,723.10

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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.