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Finding the Fourth Proportional to 7,131.70, 10,709.70 and 4,677.40

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Solution

The fourth proportional to 7,131.70, 10,709.70 and 4,677.40 is: 7,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.70 : 10,709.70 = 4,677.40 : x
  2. Step 2: Convert to fraction form
    7,131.70/10,709.70 = 4,677.40/x
  3. Step 3: Cross multiply
    7,131.70x = 10,709.70 × 4,677.40
  4. Step 4: Simplify right side
    7,131.70x = 50,093,550.78
  5. Step 5: Solve for x
    x = 50,093,550.78/7,131.70
  6. Step 6: Final answer
    x = 7,024.07

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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.