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Finding the Fourth Proportional to 11,674.60, 17,468.16 and 6,484.12

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Solution

The fourth proportional to 11,674.60, 17,468.16 and 6,484.12 is: 9,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.60 : 17,468.16 = 6,484.12 : x
  2. Step 2: Convert to fraction form
    11,674.60/17,468.16 = 6,484.12/x
  3. Step 3: Cross multiply
    11,674.60x = 17,468.16 × 6,484.12
  4. Step 4: Simplify right side
    11,674.60x = 113,265,645.62
  5. Step 5: Solve for x
    x = 113,265,645.62/11,674.60
  6. Step 6: Final answer
    x = 9,701.89

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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.