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Finding the Fourth Proportional to 7,071.84, 10,611.93 and 2,692.98

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Solution

The fourth proportional to 7,071.84, 10,611.93 and 2,692.98 is: 4,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.84 : 10,611.93 = 2,692.98 : x
  2. Step 2: Convert to fraction form
    7,071.84/10,611.93 = 2,692.98/x
  3. Step 3: Cross multiply
    7,071.84x = 10,611.93 × 2,692.98
  4. Step 4: Simplify right side
    7,071.84x = 28,577,715.25
  5. Step 5: Solve for x
    x = 28,577,715.25/7,071.84
  6. Step 6: Final answer
    x = 4,041.06

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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.