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Finding the Fourth Proportional to 12,011.70, 16,576.05 and 6,706.35

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Solution

The fourth proportional to 12,011.70, 16,576.05 and 6,706.35 is: 9,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.70 : 16,576.05 = 6,706.35 : x
  2. Step 2: Convert to fraction form
    12,011.70/16,576.05 = 6,706.35/x
  3. Step 3: Cross multiply
    12,011.70x = 16,576.05 × 6,706.35
  4. Step 4: Simplify right side
    12,011.70x = 111,164,792.92
  5. Step 5: Solve for x
    x = 111,164,792.92/12,011.70
  6. Step 6: Final answer
    x = 9,254.71

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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.