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Finding the Fourth Proportional to 9,406.46, 14,164.67 and 6,958.51

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Solution

The fourth proportional to 9,406.46, 14,164.67 and 6,958.51 is: 10,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.46 : 14,164.67 = 6,958.51 : x
  2. Step 2: Convert to fraction form
    9,406.46/14,164.67 = 6,958.51/x
  3. Step 3: Cross multiply
    9,406.46x = 14,164.67 × 6,958.51
  4. Step 4: Simplify right side
    9,406.46x = 98,564,979.83
  5. Step 5: Solve for x
    x = 98,564,979.83/9,406.46
  6. Step 6: Final answer
    x = 10,478.43

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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 (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.