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Finding the Fourth Proportional to 12,416.39, 17,134.62 and 6,827.39

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Solution

The fourth proportional to 12,416.39, 17,134.62 and 6,827.39 is: 9,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.39 : 17,134.62 = 6,827.39 : x
  2. Step 2: Convert to fraction form
    12,416.39/17,134.62 = 6,827.39/x
  3. Step 3: Cross multiply
    12,416.39x = 17,134.62 × 6,827.39
  4. Step 4: Simplify right side
    12,416.39x = 116,984,776.08
  5. Step 5: Solve for x
    x = 116,984,776.08/12,416.39
  6. Step 6: Final answer
    x = 9,421.80

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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.