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Finding the Fourth Proportional to 10,665.40, 15,998.10 and 9,412.60

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Solution

The fourth proportional to 10,665.40, 15,998.10 and 9,412.60 is: 14,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.40 : 15,998.10 = 9,412.60 : x
  2. Step 2: Convert to fraction form
    10,665.40/15,998.10 = 9,412.60/x
  3. Step 3: Cross multiply
    10,665.40x = 15,998.10 × 9,412.60
  4. Step 4: Simplify right side
    10,665.40x = 150,583,716.06
  5. Step 5: Solve for x
    x = 150,583,716.06/10,665.40
  6. Step 6: Final answer
    x = 14,118.90

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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.