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Finding the Fourth Proportional to 6,274.40, 8,653.64 and 5,566.73

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Solution

The fourth proportional to 6,274.40, 8,653.64 and 5,566.73 is: 7,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.40 : 8,653.64 = 5,566.73 : x
  2. Step 2: Convert to fraction form
    6,274.40/8,653.64 = 5,566.73/x
  3. Step 3: Cross multiply
    6,274.40x = 8,653.64 × 5,566.73
  4. Step 4: Simplify right side
    6,274.40x = 48,172,406.30
  5. Step 5: Solve for x
    x = 48,172,406.30/6,274.40
  6. Step 6: Final answer
    x = 7,677.62

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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.