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Finding the Fourth Proportional to 7,706.80, 10,632.54 and 5,055.67

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Solution

The fourth proportional to 7,706.80, 10,632.54 and 5,055.67 is: 6,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.80 : 10,632.54 = 5,055.67 : x
  2. Step 2: Convert to fraction form
    7,706.80/10,632.54 = 5,055.67/x
  3. Step 3: Cross multiply
    7,706.80x = 10,632.54 × 5,055.67
  4. Step 4: Simplify right side
    7,706.80x = 53,754,613.50
  5. Step 5: Solve for x
    x = 53,754,613.50/7,706.80
  6. Step 6: Final answer
    x = 6,974.96

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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.