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Finding the Fourth Proportional to 9,706.78, 14,549.79 and 5,022.07

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Solution

The fourth proportional to 9,706.78, 14,549.79 and 5,022.07 is: 7,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.78 : 14,549.79 = 5,022.07 : x
  2. Step 2: Convert to fraction form
    9,706.78/14,549.79 = 5,022.07/x
  3. Step 3: Cross multiply
    9,706.78x = 14,549.79 × 5,022.07
  4. Step 4: Simplify right side
    9,706.78x = 73,070,063.87
  5. Step 5: Solve for x
    x = 73,070,063.87/9,706.78
  6. Step 6: Final answer
    x = 7,527.73

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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.