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Finding the Fourth Proportional to 9,953.79, 13,731.62 and 5,967.98

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Solution

The fourth proportional to 9,953.79, 13,731.62 and 5,967.98 is: 8,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.79 : 13,731.62 = 5,967.98 : x
  2. Step 2: Convert to fraction form
    9,953.79/13,731.62 = 5,967.98/x
  3. Step 3: Cross multiply
    9,953.79x = 13,731.62 × 5,967.98
  4. Step 4: Simplify right side
    9,953.79x = 81,949,935.03
  5. Step 5: Solve for x
    x = 81,949,935.03/9,953.79
  6. Step 6: Final answer
    x = 8,233.04

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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.