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Finding the Fourth Proportional to 9,951.12, 13,718 and 6,957.64

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Solution

The fourth proportional to 9,951.12, 13,718 and 6,957.64 is: 9,591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.12 : 13,718 = 6,957.64 : x
  2. Step 2: Convert to fraction form
    9,951.12/13,718 = 6,957.64/x
  3. Step 3: Cross multiply
    9,951.12x = 13,718 × 6,957.64
  4. Step 4: Simplify right side
    9,951.12x = 95,444,905.52
  5. Step 5: Solve for x
    x = 95,444,905.52/9,951.12
  6. Step 6: Final answer
    x = 9,591.37

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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.