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Finding the Fourth Proportional to 6,101.48, 9,152.12 and 1,941.74

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Solution

The fourth proportional to 6,101.48, 9,152.12 and 1,941.74 is: 2,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.48 : 9,152.12 = 1,941.74 : x
  2. Step 2: Convert to fraction form
    6,101.48/9,152.12 = 1,941.74/x
  3. Step 3: Cross multiply
    6,101.48x = 9,152.12 × 1,941.74
  4. Step 4: Simplify right side
    6,101.48x = 17,771,037.49
  5. Step 5: Solve for x
    x = 17,771,037.49/6,101.48
  6. Step 6: Final answer
    x = 2,912.58

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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.