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Finding the Fourth Proportional to 7,748.09, 10,692.06 and 4,211.22

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Solution

The fourth proportional to 7,748.09, 10,692.06 and 4,211.22 is: 5,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.09 : 10,692.06 = 4,211.22 : x
  2. Step 2: Convert to fraction form
    7,748.09/10,692.06 = 4,211.22/x
  3. Step 3: Cross multiply
    7,748.09x = 10,692.06 × 4,211.22
  4. Step 4: Simplify right side
    7,748.09x = 45,026,601.12
  5. Step 5: Solve for x
    x = 45,026,601.12/7,748.09
  6. Step 6: Final answer
    x = 5,811.32

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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.