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Finding the Fourth Proportional to 7,692.29, 10,615.15 and 4,708.11

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Solution

The fourth proportional to 7,692.29, 10,615.15 and 4,708.11 is: 6,497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.29 : 10,615.15 = 4,708.11 : x
  2. Step 2: Convert to fraction form
    7,692.29/10,615.15 = 4,708.11/x
  3. Step 3: Cross multiply
    7,692.29x = 10,615.15 × 4,708.11
  4. Step 4: Simplify right side
    7,692.29x = 49,977,293.87
  5. Step 5: Solve for x
    x = 49,977,293.87/7,692.29
  6. Step 6: Final answer
    x = 6,497.06

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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.