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Finding the Fourth Proportional to 12,416.16, 17,134.16 and 6,827.04

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Solution

The fourth proportional to 12,416.16, 17,134.16 and 6,827.04 is: 9,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.16 : 17,134.16 = 6,827.04 : x
  2. Step 2: Convert to fraction form
    12,416.16/17,134.16 = 6,827.04/x
  3. Step 3: Cross multiply
    12,416.16x = 17,134.16 × 6,827.04
  4. Step 4: Simplify right side
    12,416.16x = 116,975,595.69
  5. Step 5: Solve for x
    x = 116,975,595.69/12,416.16
  6. Step 6: Final answer
    x = 9,421.24

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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.