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Finding the Fourth Proportional to 11,696.71, 17,547.80 and 8,000.68

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Solution

The fourth proportional to 11,696.71, 17,547.80 and 8,000.68 is: 12,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.71 : 17,547.80 = 8,000.68 : x
  2. Step 2: Convert to fraction form
    11,696.71/17,547.80 = 8,000.68/x
  3. Step 3: Cross multiply
    11,696.71x = 17,547.80 × 8,000.68
  4. Step 4: Simplify right side
    11,696.71x = 140,394,332.50
  5. Step 5: Solve for x
    x = 140,394,332.50/11,696.71
  6. Step 6: Final answer
    x = 12,002.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.