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Finding the Fourth Proportional to 12,416.24, 17,133.96 and 6,827.12

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Solution

The fourth proportional to 12,416.24, 17,133.96 and 6,827.12 is: 9,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.24 : 17,133.96 = 6,827.12 : x
  2. Step 2: Convert to fraction form
    12,416.24/17,133.96 = 6,827.12/x
  3. Step 3: Cross multiply
    12,416.24x = 17,133.96 × 6,827.12
  4. Step 4: Simplify right side
    12,416.24x = 116,975,601.00
  5. Step 5: Solve for x
    x = 116,975,601.00/12,416.24
  6. Step 6: Final answer
    x = 9,421.18

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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.