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Finding the Fourth Proportional to 6,228.80, 8,564.64 and 5,969.60

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Solution

The fourth proportional to 6,228.80, 8,564.64 and 5,969.60 is: 8,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.80 : 8,564.64 = 5,969.60 : x
  2. Step 2: Convert to fraction form
    6,228.80/8,564.64 = 5,969.60/x
  3. Step 3: Cross multiply
    6,228.80x = 8,564.64 × 5,969.60
  4. Step 4: Simplify right side
    6,228.80x = 51,127,474.94
  5. Step 5: Solve for x
    x = 51,127,474.94/6,228.80
  6. Step 6: Final answer
    x = 8,208.24

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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.