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Finding the Fourth Proportional to 7,024.34, 9,692.91 and 3,880.32

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Solution

The fourth proportional to 7,024.34, 9,692.91 and 3,880.32 is: 5,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.34 : 9,692.91 = 3,880.32 : x
  2. Step 2: Convert to fraction form
    7,024.34/9,692.91 = 3,880.32/x
  3. Step 3: Cross multiply
    7,024.34x = 9,692.91 × 3,880.32
  4. Step 4: Simplify right side
    7,024.34x = 37,611,592.53
  5. Step 5: Solve for x
    x = 37,611,592.53/7,024.34
  6. Step 6: Final answer
    x = 5,354.47

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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.