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Finding the Fourth Proportional to 7,692.09, 10,615.08 and 4,155.30

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Solution

The fourth proportional to 7,692.09, 10,615.08 and 4,155.30 is: 5,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.09 : 10,615.08 = 4,155.30 : x
  2. Step 2: Convert to fraction form
    7,692.09/10,615.08 = 4,155.30/x
  3. Step 3: Cross multiply
    7,692.09x = 10,615.08 × 4,155.30
  4. Step 4: Simplify right side
    7,692.09x = 44,108,857.51
  5. Step 5: Solve for x
    x = 44,108,857.51/7,692.09
  6. Step 6: Final answer
    x = 5,734.32

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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.