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Finding the Fourth Proportional to 12,416.40, 17,134.40 and 6,827.28

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Solution

The fourth proportional to 12,416.40, 17,134.40 and 6,827.28 is: 9,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.40 : 17,134.40 = 6,827.28 : x
  2. Step 2: Convert to fraction form
    12,416.40/17,134.40 = 6,827.28/x
  3. Step 3: Cross multiply
    12,416.40x = 17,134.40 × 6,827.28
  4. Step 4: Simplify right side
    12,416.40x = 116,981,346.43
  5. Step 5: Solve for x
    x = 116,981,346.43/12,416.40
  6. Step 6: Final answer
    x = 9,421.52

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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.