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Finding the Fourth Proportional to 10,596.60, 14,614.96 and 7,408.84

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Solution

The fourth proportional to 10,596.60, 14,614.96 and 7,408.84 is: 10,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.60 : 14,614.96 = 7,408.84 : x
  2. Step 2: Convert to fraction form
    10,596.60/14,614.96 = 7,408.84/x
  3. Step 3: Cross multiply
    10,596.60x = 14,614.96 × 7,408.84
  4. Step 4: Simplify right side
    10,596.60x = 108,279,900.25
  5. Step 5: Solve for x
    x = 108,279,900.25/10,596.60
  6. Step 6: Final answer
    x = 10,218.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.