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Finding the Fourth Proportional to 9,505.98, 14,258.16 and 2,932.22

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Solution

The fourth proportional to 9,505.98, 14,258.16 and 2,932.22 is: 4,398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.98 : 14,258.16 = 2,932.22 : x
  2. Step 2: Convert to fraction form
    9,505.98/14,258.16 = 2,932.22/x
  3. Step 3: Cross multiply
    9,505.98x = 14,258.16 × 2,932.22
  4. Step 4: Simplify right side
    9,505.98x = 41,807,990.62
  5. Step 5: Solve for x
    x = 41,807,990.62/9,505.98
  6. Step 6: Final answer
    x = 4,398.07

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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.