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Finding the Fourth Proportional to 7,023.57, 9,692.82 and 4,039.40

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Solution

The fourth proportional to 7,023.57, 9,692.82 and 4,039.40 is: 5,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.57 : 9,692.82 = 4,039.40 : x
  2. Step 2: Convert to fraction form
    7,023.57/9,692.82 = 4,039.40/x
  3. Step 3: Cross multiply
    7,023.57x = 9,692.82 × 4,039.40
  4. Step 4: Simplify right side
    7,023.57x = 39,153,203.36
  5. Step 5: Solve for x
    x = 39,153,203.36/7,023.57
  6. Step 6: Final answer
    x = 5,574.55

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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.