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Finding the Fourth Proportional to 5,173.70, 7,760.54 and 1,710.95

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Solution

The fourth proportional to 5,173.70, 7,760.54 and 1,710.95 is: 2,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.70 : 7,760.54 = 1,710.95 : x
  2. Step 2: Convert to fraction form
    5,173.70/7,760.54 = 1,710.95/x
  3. Step 3: Cross multiply
    5,173.70x = 7,760.54 × 1,710.95
  4. Step 4: Simplify right side
    5,173.70x = 13,277,861.39
  5. Step 5: Solve for x
    x = 13,277,861.39/5,173.70
  6. Step 6: Final answer
    x = 2,566.42

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Double scale
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Similar ratio
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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.