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Finding the Fourth Proportional to 9,981, 14,970.87 and 3,895.74

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Solution

The fourth proportional to 9,981, 14,970.87 and 3,895.74 is: 5,843.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981 : 14,970.87 = 3,895.74 : x
  2. Step 2: Convert to fraction form
    9,981/14,970.87 = 3,895.74/x
  3. Step 3: Cross multiply
    9,981x = 14,970.87 × 3,895.74
  4. Step 4: Simplify right side
    9,981x = 58,322,617.09
  5. Step 5: Solve for x
    x = 58,322,617.09/9,981
  6. Step 6: Final answer
    x = 5,843.36

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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.