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Finding the Fourth Proportional to 9,460.62, 14,159.97 and 6,961.14

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Solution

The fourth proportional to 9,460.62, 14,159.97 and 6,961.14 is: 10,418.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.62 : 14,159.97 = 6,961.14 : x
  2. Step 2: Convert to fraction form
    9,460.62/14,159.97 = 6,961.14/x
  3. Step 3: Cross multiply
    9,460.62x = 14,159.97 × 6,961.14
  4. Step 4: Simplify right side
    9,460.62x = 98,569,533.57
  5. Step 5: Solve for x
    x = 98,569,533.57/9,460.62
  6. Step 6: Final answer
    x = 10,418.93

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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.