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Finding the Fourth Proportional to 7,023.42, 9,692.93 and 3,880.22

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Solution

The fourth proportional to 7,023.42, 9,692.93 and 3,880.22 is: 5,355.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.42 : 9,692.93 = 3,880.22 : x
  2. Step 2: Convert to fraction form
    7,023.42/9,692.93 = 3,880.22/x
  3. Step 3: Cross multiply
    7,023.42x = 9,692.93 × 3,880.22
  4. Step 4: Simplify right side
    7,023.42x = 37,610,700.84
  5. Step 5: Solve for x
    x = 37,610,700.84/7,023.42
  6. Step 6: Final answer
    x = 5,355.04

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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.