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Finding the Fourth Proportional to 5,742.70, 8,614.05 and 4,770.70

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Solution

The fourth proportional to 5,742.70, 8,614.05 and 4,770.70 is: 7,156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.70 : 8,614.05 = 4,770.70 : x
  2. Step 2: Convert to fraction form
    5,742.70/8,614.05 = 4,770.70/x
  3. Step 3: Cross multiply
    5,742.70x = 8,614.05 × 4,770.70
  4. Step 4: Simplify right side
    5,742.70x = 41,095,048.34
  5. Step 5: Solve for x
    x = 41,095,048.34/5,742.70
  6. Step 6: Final answer
    x = 7,156.05

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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.