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Finding the Fourth Proportional to 9,953.83, 13,731.14 and 6,963.11

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Solution

The fourth proportional to 9,953.83, 13,731.14 and 6,963.11 is: 9,605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.83 : 13,731.14 = 6,963.11 : x
  2. Step 2: Convert to fraction form
    9,953.83/13,731.14 = 6,963.11/x
  3. Step 3: Cross multiply
    9,953.83x = 13,731.14 × 6,963.11
  4. Step 4: Simplify right side
    9,953.83x = 95,611,387.00
  5. Step 5: Solve for x
    x = 95,611,387.00/9,953.83
  6. Step 6: Final answer
    x = 9,605.49

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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.