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Finding the Fourth Proportional to 6,342.64, 8,752.79 and 3,548.14

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Solution

The fourth proportional to 6,342.64, 8,752.79 and 3,548.14 is: 4,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.64 : 8,752.79 = 3,548.14 : x
  2. Step 2: Convert to fraction form
    6,342.64/8,752.79 = 3,548.14/x
  3. Step 3: Cross multiply
    6,342.64x = 8,752.79 × 3,548.14
  4. Step 4: Simplify right side
    6,342.64x = 31,056,111.30
  5. Step 5: Solve for x
    x = 31,056,111.30/6,342.64
  6. Step 6: Final answer
    x = 4,896.40

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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.