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Finding the Fourth Proportional to 4,606.54, 6,911.46 and 1,972.94

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Solution

The fourth proportional to 4,606.54, 6,911.46 and 1,972.94 is: 2,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.54 : 6,911.46 = 1,972.94 : x
  2. Step 2: Convert to fraction form
    4,606.54/6,911.46 = 1,972.94/x
  3. Step 3: Cross multiply
    4,606.54x = 6,911.46 × 1,972.94
  4. Step 4: Simplify right side
    4,606.54x = 13,635,895.89
  5. Step 5: Solve for x
    x = 13,635,895.89/4,606.54
  6. Step 6: Final answer
    x = 2,960.12

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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.