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Finding the Fourth Proportional to 11,692.12, 17,510.24 and 6,419.02

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Solution

The fourth proportional to 11,692.12, 17,510.24 and 6,419.02 is: 9,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.12 : 17,510.24 = 6,419.02 : x
  2. Step 2: Convert to fraction form
    11,692.12/17,510.24 = 6,419.02/x
  3. Step 3: Cross multiply
    11,692.12x = 17,510.24 × 6,419.02
  4. Step 4: Simplify right side
    11,692.12x = 112,398,580.76
  5. Step 5: Solve for x
    x = 112,398,580.76/11,692.12
  6. Step 6: Final answer
    x = 9,613.19

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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.