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Finding the Fourth Proportional to 3,675.09, 5,512.50 and 901.77

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Solution

The fourth proportional to 3,675.09, 5,512.50 and 901.77 is: 1,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.09 : 5,512.50 = 901.77 : x
  2. Step 2: Convert to fraction form
    3,675.09/5,512.50 = 901.77/x
  3. Step 3: Cross multiply
    3,675.09x = 5,512.50 × 901.77
  4. Step 4: Simplify right side
    3,675.09x = 4,971,007.13
  5. Step 5: Solve for x
    x = 4,971,007.13/3,675.09
  6. Step 6: Final answer
    x = 1,352.62

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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.