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Finding the Fourth Proportional to 12,416.46, 17,134.71 and 6,827.46

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Solution

The fourth proportional to 12,416.46, 17,134.71 and 6,827.46 is: 9,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.46 : 17,134.71 = 6,827.46 : x
  2. Step 2: Convert to fraction form
    12,416.46/17,134.71 = 6,827.46/x
  3. Step 3: Cross multiply
    12,416.46x = 17,134.71 × 6,827.46
  4. Step 4: Simplify right side
    12,416.46x = 116,986,461.46
  5. Step 5: Solve for x
    x = 116,986,461.46/12,416.46
  6. Step 6: Final answer
    x = 9,421.89

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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.