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Finding the Fourth Proportional to 9,706.81, 14,560.22 and 3,863.47

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Solution

The fourth proportional to 9,706.81, 14,560.22 and 3,863.47 is: 5,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.81 : 14,560.22 = 3,863.47 : x
  2. Step 2: Convert to fraction form
    9,706.81/14,560.22 = 3,863.47/x
  3. Step 3: Cross multiply
    9,706.81x = 14,560.22 × 3,863.47
  4. Step 4: Simplify right side
    9,706.81x = 56,252,953.85
  5. Step 5: Solve for x
    x = 56,252,953.85/9,706.81
  6. Step 6: Final answer
    x = 5,795.21

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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.