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Finding the Fourth Proportional to 5,153.59, 7,728.09 and 1,642.94

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Solution

The fourth proportional to 5,153.59, 7,728.09 and 1,642.94 is: 2,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.59 : 7,728.09 = 1,642.94 : x
  2. Step 2: Convert to fraction form
    5,153.59/7,728.09 = 1,642.94/x
  3. Step 3: Cross multiply
    5,153.59x = 7,728.09 × 1,642.94
  4. Step 4: Simplify right side
    5,153.59x = 12,696,788.18
  5. Step 5: Solve for x
    x = 12,696,788.18/5,153.59
  6. Step 6: Final answer
    x = 2,463.68

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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.