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Finding the Fourth Proportional to 9,896.63, 14,844.94 and 2,971.13

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Solution

The fourth proportional to 9,896.63, 14,844.94 and 2,971.13 is: 4,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.63 : 14,844.94 = 2,971.13 : x
  2. Step 2: Convert to fraction form
    9,896.63/14,844.94 = 2,971.13/x
  3. Step 3: Cross multiply
    9,896.63x = 14,844.94 × 2,971.13
  4. Step 4: Simplify right side
    9,896.63x = 44,106,164.93
  5. Step 5: Solve for x
    x = 44,106,164.93/9,896.63
  6. Step 6: Final answer
    x = 4,456.69

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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.