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Finding the Fourth Proportional to 9,643.46, 14,464.22 and 6,844.23

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Solution

The fourth proportional to 9,643.46, 14,464.22 and 6,844.23 is: 10,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.46 : 14,464.22 = 6,844.23 : x
  2. Step 2: Convert to fraction form
    9,643.46/14,464.22 = 6,844.23/x
  3. Step 3: Cross multiply
    9,643.46x = 14,464.22 × 6,844.23
  4. Step 4: Simplify right side
    9,643.46x = 98,996,414.23
  5. Step 5: Solve for x
    x = 98,996,414.23/9,643.46
  6. Step 6: Final answer
    x = 10,265.66

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Double scale
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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.