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Finding the Fourth Proportional to 9,706.96, 14,545.97 and 5,020.71

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Solution

The fourth proportional to 9,706.96, 14,545.97 and 5,020.71 is: 7,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.96 : 14,545.97 = 5,020.71 : x
  2. Step 2: Convert to fraction form
    9,706.96/14,545.97 = 5,020.71/x
  3. Step 3: Cross multiply
    9,706.96x = 14,545.97 × 5,020.71
  4. Step 4: Simplify right side
    9,706.96x = 73,031,011.76
  5. Step 5: Solve for x
    x = 73,031,011.76/9,706.96
  6. Step 6: Final answer
    x = 7,523.57

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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.