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Finding the Fourth Proportional to 6,841.78, 9,440.31 and 4,047.46

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Solution

The fourth proportional to 6,841.78, 9,440.31 and 4,047.46 is: 5,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.78 : 9,440.31 = 4,047.46 : x
  2. Step 2: Convert to fraction form
    6,841.78/9,440.31 = 4,047.46/x
  3. Step 3: Cross multiply
    6,841.78x = 9,440.31 × 4,047.46
  4. Step 4: Simplify right side
    6,841.78x = 38,209,277.11
  5. Step 5: Solve for x
    x = 38,209,277.11/6,841.78
  6. Step 6: Final answer
    x = 5,584.70

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.