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Finding the Fourth Proportional to 19,821.75, 29,732.63 and 5,030.75

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Solution

The fourth proportional to 19,821.75, 29,732.63 and 5,030.75 is: 7,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821.75 : 29,732.63 = 5,030.75 : x
  2. Step 2: Convert to fraction form
    19,821.75/29,732.63 = 5,030.75/x
  3. Step 3: Cross multiply
    19,821.75x = 29,732.63 × 5,030.75
  4. Step 4: Simplify right side
    19,821.75x = 149,577,428.37
  5. Step 5: Solve for x
    x = 149,577,428.37/19,821.75
  6. Step 6: Final answer
    x = 7,546.13

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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.