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Finding the Fourth Proportional to 9,773.19, 14,659.81 and 6,864.48

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Solution

The fourth proportional to 9,773.19, 14,659.81 and 6,864.48 is: 10,296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.19 : 14,659.81 = 6,864.48 : x
  2. Step 2: Convert to fraction form
    9,773.19/14,659.81 = 6,864.48/x
  3. Step 3: Cross multiply
    9,773.19x = 14,659.81 × 6,864.48
  4. Step 4: Simplify right side
    9,773.19x = 100,631,955.39
  5. Step 5: Solve for x
    x = 100,631,955.39/9,773.19
  6. Step 6: Final answer
    x = 10,296.74

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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.