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Finding the Fourth Proportional to 6,110.70, 9,166.50 and 1,728.51

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Solution

The fourth proportional to 6,110.70, 9,166.50 and 1,728.51 is: 2,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,110.70 : 9,166.50 = 1,728.51 : x
  2. Step 2: Convert to fraction form
    6,110.70/9,166.50 = 1,728.51/x
  3. Step 3: Cross multiply
    6,110.70x = 9,166.50 × 1,728.51
  4. Step 4: Simplify right side
    6,110.70x = 15,844,386.92
  5. Step 5: Solve for x
    x = 15,844,386.92/6,110.70
  6. Step 6: Final answer
    x = 2,592.89

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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.