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Finding the Fourth Proportional to 31,896.56, 47,855.10 and 9,714.22

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Solution

The fourth proportional to 31,896.56, 47,855.10 and 9,714.22 is: 14,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,896.56 : 47,855.10 = 9,714.22 : x
  2. Step 2: Convert to fraction form
    31,896.56/47,855.10 = 9,714.22/x
  3. Step 3: Cross multiply
    31,896.56x = 47,855.10 × 9,714.22
  4. Step 4: Simplify right side
    31,896.56x = 464,874,969.52
  5. Step 5: Solve for x
    x = 464,874,969.52/31,896.56
  6. Step 6: Final answer
    x = 14,574.45

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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.