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Finding the Fourth Proportional to 12,673.68, 18,994.68 and 6,098.10

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Solution

The fourth proportional to 12,673.68, 18,994.68 and 6,098.10 is: 9,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,673.68 : 18,994.68 = 6,098.10 : x
  2. Step 2: Convert to fraction form
    12,673.68/18,994.68 = 6,098.10/x
  3. Step 3: Cross multiply
    12,673.68x = 18,994.68 × 6,098.10
  4. Step 4: Simplify right side
    12,673.68x = 115,831,458.11
  5. Step 5: Solve for x
    x = 115,831,458.11/12,673.68
  6. Step 6: Final answer
    x = 9,139.53

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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.