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Finding the Fourth Proportional to 7,692.05, 10,615.03 and 4,155.26

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Solution

The fourth proportional to 7,692.05, 10,615.03 and 4,155.26 is: 5,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.05 : 10,615.03 = 4,155.26 : x
  2. Step 2: Convert to fraction form
    7,692.05/10,615.03 = 4,155.26/x
  3. Step 3: Cross multiply
    7,692.05x = 10,615.03 × 4,155.26
  4. Step 4: Simplify right side
    7,692.05x = 44,108,146.09
  5. Step 5: Solve for x
    x = 44,108,146.09/7,692.05
  6. Step 6: Final answer
    x = 5,734.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.