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Finding the Fourth Proportional to 7,024.32, 9,692.16 and 4,230

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Solution

The fourth proportional to 7,024.32, 9,692.16 and 4,230 is: 5,836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.32 : 9,692.16 = 4,230 : x
  2. Step 2: Convert to fraction form
    7,024.32/9,692.16 = 4,230/x
  3. Step 3: Cross multiply
    7,024.32x = 9,692.16 × 4,230
  4. Step 4: Simplify right side
    7,024.32x = 40,997,836.80
  5. Step 5: Solve for x
    x = 40,997,836.80/7,024.32
  6. Step 6: Final answer
    x = 5,836.56

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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.