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Finding the Fourth Proportional to 12,011.61, 16,576.05 and 6,706.61

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Solution

The fourth proportional to 12,011.61, 16,576.05 and 6,706.61 is: 9,255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.61 : 16,576.05 = 6,706.61 : x
  2. Step 2: Convert to fraction form
    12,011.61/16,576.05 = 6,706.61/x
  3. Step 3: Cross multiply
    12,011.61x = 16,576.05 × 6,706.61
  4. Step 4: Simplify right side
    12,011.61x = 111,169,144.13
  5. Step 5: Solve for x
    x = 111,169,144.13/12,011.61
  6. Step 6: Final answer
    x = 9,255.14

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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.