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Finding the Fourth Proportional to 9,981, 13,772.16 and 5,893.74

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Solution

The fourth proportional to 9,981, 13,772.16 and 5,893.74 is: 8,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981 : 13,772.16 = 5,893.74 : x
  2. Step 2: Convert to fraction form
    9,981/13,772.16 = 5,893.74/x
  3. Step 3: Cross multiply
    9,981x = 13,772.16 × 5,893.74
  4. Step 4: Simplify right side
    9,981x = 81,169,530.28
  5. Step 5: Solve for x
    x = 81,169,530.28/9,981
  6. Step 6: Final answer
    x = 8,132.40

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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.