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Finding the Fourth Proportional to 9,951.19, 13,724.04 and 7,713.16

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Solution

The fourth proportional to 9,951.19, 13,724.04 and 7,713.16 is: 10,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.19 : 13,724.04 = 7,713.16 : x
  2. Step 2: Convert to fraction form
    9,951.19/13,724.04 = 7,713.16/x
  3. Step 3: Cross multiply
    9,951.19x = 13,724.04 × 7,713.16
  4. Step 4: Simplify right side
    9,951.19x = 105,855,716.37
  5. Step 5: Solve for x
    x = 105,855,716.37/9,951.19
  6. Step 6: Final answer
    x = 10,637.49

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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.