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Finding the Fourth Proportional to 6,114.64, 8,437.94 and 3,461.88

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Solution

The fourth proportional to 6,114.64, 8,437.94 and 3,461.88 is: 4,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.64 : 8,437.94 = 3,461.88 : x
  2. Step 2: Convert to fraction form
    6,114.64/8,437.94 = 3,461.88/x
  3. Step 3: Cross multiply
    6,114.64x = 8,437.94 × 3,461.88
  4. Step 4: Simplify right side
    6,114.64x = 29,211,135.73
  5. Step 5: Solve for x
    x = 29,211,135.73/6,114.64
  6. Step 6: Final answer
    x = 4,777.25

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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.