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Finding the Fourth Proportional to 6,307.44, 8,703.86 and 3,654.64

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Solution

The fourth proportional to 6,307.44, 8,703.86 and 3,654.64 is: 5,043.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.44 : 8,703.86 = 3,654.64 : x
  2. Step 2: Convert to fraction form
    6,307.44/8,703.86 = 3,654.64/x
  3. Step 3: Cross multiply
    6,307.44x = 8,703.86 × 3,654.64
  4. Step 4: Simplify right side
    6,307.44x = 31,809,474.91
  5. Step 5: Solve for x
    x = 31,809,474.91/6,307.44
  6. Step 6: Final answer
    x = 5,043.17

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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.