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Finding the Fourth Proportional to 4,677.57, 7,009.07 and 2,942.55

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Solution

The fourth proportional to 4,677.57, 7,009.07 and 2,942.55 is: 4,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.57 : 7,009.07 = 2,942.55 : x
  2. Step 2: Convert to fraction form
    4,677.57/7,009.07 = 2,942.55/x
  3. Step 3: Cross multiply
    4,677.57x = 7,009.07 × 2,942.55
  4. Step 4: Simplify right side
    4,677.57x = 20,624,524.22
  5. Step 5: Solve for x
    x = 20,624,524.22/4,677.57
  6. Step 6: Final answer
    x = 4,409.24

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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.