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Finding the Fourth Proportional to 5,764.50, 8,647.83 and 2,686.50

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Solution

The fourth proportional to 5,764.50, 8,647.83 and 2,686.50 is: 4,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.50 : 8,647.83 = 2,686.50 : x
  2. Step 2: Convert to fraction form
    5,764.50/8,647.83 = 2,686.50/x
  3. Step 3: Cross multiply
    5,764.50x = 8,647.83 × 2,686.50
  4. Step 4: Simplify right side
    5,764.50x = 23,232,395.30
  5. Step 5: Solve for x
    x = 23,232,395.30/5,764.50
  6. Step 6: Final answer
    x = 4,030.25

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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.