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Finding the Fourth Proportional to 17,408.12, 26,114.58 and 7,019

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Solution

The fourth proportional to 17,408.12, 26,114.58 and 7,019 is: 10,529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.12 : 26,114.58 = 7,019 : x
  2. Step 2: Convert to fraction form
    17,408.12/26,114.58 = 7,019/x
  3. Step 3: Cross multiply
    17,408.12x = 26,114.58 × 7,019
  4. Step 4: Simplify right side
    17,408.12x = 183,298,237.02
  5. Step 5: Solve for x
    x = 183,298,237.02/17,408.12
  6. Step 6: Final answer
    x = 10,529.47

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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.