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Finding the Fourth Proportional to 5,166, 7,777.12 and 4,706.73

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Solution

The fourth proportional to 5,166, 7,777.12 and 4,706.73 is: 7,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166 : 7,777.12 = 4,706.73 : x
  2. Step 2: Convert to fraction form
    5,166/7,777.12 = 4,706.73/x
  3. Step 3: Cross multiply
    5,166x = 7,777.12 × 4,706.73
  4. Step 4: Simplify right side
    5,166x = 36,604,780.48
  5. Step 5: Solve for x
    x = 36,604,780.48/5,166
  6. Step 6: Final answer
    x = 7,085.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.