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Finding the Fourth Proportional to 6,841.16, 9,443.14 and 4,009.44

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Solution

The fourth proportional to 6,841.16, 9,443.14 and 4,009.44 is: 5,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.16 : 9,443.14 = 4,009.44 : x
  2. Step 2: Convert to fraction form
    6,841.16/9,443.14 = 4,009.44/x
  3. Step 3: Cross multiply
    6,841.16x = 9,443.14 × 4,009.44
  4. Step 4: Simplify right side
    6,841.16x = 37,861,693.22
  5. Step 5: Solve for x
    x = 37,861,693.22/6,841.16
  6. Step 6: Final answer
    x = 5,534.40

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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.