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Finding the Fourth Proportional to 10,297.60, 14,209.60 and 6,105.12

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Solution

The fourth proportional to 10,297.60, 14,209.60 and 6,105.12 is: 8,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.60 : 14,209.60 = 6,105.12 : x
  2. Step 2: Convert to fraction form
    10,297.60/14,209.60 = 6,105.12/x
  3. Step 3: Cross multiply
    10,297.60x = 14,209.60 × 6,105.12
  4. Step 4: Simplify right side
    10,297.60x = 86,751,313.15
  5. Step 5: Solve for x
    x = 86,751,313.15/10,297.60
  6. Step 6: Final answer
    x = 8,424.42

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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.