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Finding the Fourth Proportional to 10,692.74, 16,024.98 and 7,741.05

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Solution

The fourth proportional to 10,692.74, 16,024.98 and 7,741.05 is: 11,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.74 : 16,024.98 = 7,741.05 : x
  2. Step 2: Convert to fraction form
    10,692.74/16,024.98 = 7,741.05/x
  3. Step 3: Cross multiply
    10,692.74x = 16,024.98 × 7,741.05
  4. Step 4: Simplify right side
    10,692.74x = 124,050,171.43
  5. Step 5: Solve for x
    x = 124,050,171.43/10,692.74
  6. Step 6: Final answer
    x = 11,601.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.