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Finding the Fourth Proportional to 7,748.60, 10,692.72 and 4,391.22

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Solution

The fourth proportional to 7,748.60, 10,692.72 and 4,391.22 is: 6,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.60 : 10,692.72 = 4,391.22 : x
  2. Step 2: Convert to fraction form
    7,748.60/10,692.72 = 4,391.22/x
  3. Step 3: Cross multiply
    7,748.60x = 10,692.72 × 4,391.22
  4. Step 4: Simplify right side
    7,748.60x = 46,954,085.92
  5. Step 5: Solve for x
    x = 46,954,085.92/7,748.60
  6. Step 6: Final answer
    x = 6,059.68

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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.