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Finding the Fourth Proportional to 12,416, 17,134.08 and 6,827

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Solution

The fourth proportional to 12,416, 17,134.08 and 6,827 is: 9,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416 : 17,134.08 = 6,827 : x
  2. Step 2: Convert to fraction form
    12,416/17,134.08 = 6,827/x
  3. Step 3: Cross multiply
    12,416x = 17,134.08 × 6,827
  4. Step 4: Simplify right side
    12,416x = 116,974,364.16
  5. Step 5: Solve for x
    x = 116,974,364.16/12,416
  6. Step 6: Final answer
    x = 9,421.26

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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.