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Finding the Fourth Proportional to 4,967.73, 7,446.96 and 1,846.98

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Solution

The fourth proportional to 4,967.73, 7,446.96 and 1,846.98 is: 2,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.73 : 7,446.96 = 1,846.98 : x
  2. Step 2: Convert to fraction form
    4,967.73/7,446.96 = 1,846.98/x
  3. Step 3: Cross multiply
    4,967.73x = 7,446.96 × 1,846.98
  4. Step 4: Simplify right side
    4,967.73x = 13,754,386.18
  5. Step 5: Solve for x
    x = 13,754,386.18/4,967.73
  6. Step 6: Final answer
    x = 2,768.75

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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.