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Finding the Fourth Proportional to 4,792.98, 6,615.09 and 4,006.74

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Solution

The fourth proportional to 4,792.98, 6,615.09 and 4,006.74 is: 5,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.98 : 6,615.09 = 4,006.74 : x
  2. Step 2: Convert to fraction form
    4,792.98/6,615.09 = 4,006.74/x
  3. Step 3: Cross multiply
    4,792.98x = 6,615.09 × 4,006.74
  4. Step 4: Simplify right side
    4,792.98x = 26,504,945.71
  5. Step 5: Solve for x
    x = 26,504,945.71/4,792.98
  6. Step 6: Final answer
    x = 5,529.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.