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Finding the Fourth Proportional to 10,703.70, 16,055.55 and 5,770.80

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Solution

The fourth proportional to 10,703.70, 16,055.55 and 5,770.80 is: 8,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.70 : 16,055.55 = 5,770.80 : x
  2. Step 2: Convert to fraction form
    10,703.70/16,055.55 = 5,770.80/x
  3. Step 3: Cross multiply
    10,703.70x = 16,055.55 × 5,770.80
  4. Step 4: Simplify right side
    10,703.70x = 92,653,367.94
  5. Step 5: Solve for x
    x = 92,653,367.94/10,703.70
  6. Step 6: Final answer
    x = 8,656.20

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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.