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Finding the Fourth Proportional to 31,898.56, 47,858.10 and 9,716.22

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Solution

The fourth proportional to 31,898.56, 47,858.10 and 9,716.22 is: 14,577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,898.56 : 47,858.10 = 9,716.22 : x
  2. Step 2: Convert to fraction form
    31,898.56/47,858.10 = 9,716.22/x
  3. Step 3: Cross multiply
    31,898.56x = 47,858.10 × 9,716.22
  4. Step 4: Simplify right side
    31,898.56x = 464,999,828.38
  5. Step 5: Solve for x
    x = 464,999,828.38/31,898.56
  6. Step 6: Final answer
    x = 14,577.46

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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.