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Finding the Fourth Proportional to 6,266.48, 8,646.60 and 4,027.60

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Solution

The fourth proportional to 6,266.48, 8,646.60 and 4,027.60 is: 5,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.48 : 8,646.60 = 4,027.60 : x
  2. Step 2: Convert to fraction form
    6,266.48/8,646.60 = 4,027.60/x
  3. Step 3: Cross multiply
    6,266.48x = 8,646.60 × 4,027.60
  4. Step 4: Simplify right side
    6,266.48x = 34,825,046.16
  5. Step 5: Solve for x
    x = 34,825,046.16/6,266.48
  6. Step 6: Final answer
    x = 5,557.35

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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.