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Finding the Fourth Proportional to 6,277.44, 8,644.68 and 5,966.40

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Solution

The fourth proportional to 6,277.44, 8,644.68 and 5,966.40 is: 8,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.44 : 8,644.68 = 5,966.40 : x
  2. Step 2: Convert to fraction form
    6,277.44/8,644.68 = 5,966.40/x
  3. Step 3: Cross multiply
    6,277.44x = 8,644.68 × 5,966.40
  4. Step 4: Simplify right side
    6,277.44x = 51,577,618.75
  5. Step 5: Solve for x
    x = 51,577,618.75/6,277.44
  6. Step 6: Final answer
    x = 8,216.35

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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.