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Finding the Fourth Proportional to 13,410.35, 20,098.51 and 6,014.51

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Solution

The fourth proportional to 13,410.35, 20,098.51 and 6,014.51 is: 9,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.35 : 20,098.51 = 6,014.51 : x
  2. Step 2: Convert to fraction form
    13,410.35/20,098.51 = 6,014.51/x
  3. Step 3: Cross multiply
    13,410.35x = 20,098.51 × 6,014.51
  4. Step 4: Simplify right side
    13,410.35x = 120,882,689.38
  5. Step 5: Solve for x
    x = 120,882,689.38/13,410.35
  6. Step 6: Final answer
    x = 9,014.13

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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.