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Finding the Fourth Proportional to 6,139.44, 9,209.16 and 1,522.44

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Solution

The fourth proportional to 6,139.44, 9,209.16 and 1,522.44 is: 2,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.44 : 9,209.16 = 1,522.44 : x
  2. Step 2: Convert to fraction form
    6,139.44/9,209.16 = 1,522.44/x
  3. Step 3: Cross multiply
    6,139.44x = 9,209.16 × 1,522.44
  4. Step 4: Simplify right side
    6,139.44x = 14,020,393.55
  5. Step 5: Solve for x
    x = 14,020,393.55/6,139.44
  6. Step 6: Final answer
    x = 2,283.66

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Half scale
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Double scale
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Similar ratio
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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.