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Finding the Fourth Proportional to 8,474.10, 11,695.08 and 4,698.50

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Solution

The fourth proportional to 8,474.10, 11,695.08 and 4,698.50 is: 6,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.10 : 11,695.08 = 4,698.50 : x
  2. Step 2: Convert to fraction form
    8,474.10/11,695.08 = 4,698.50/x
  3. Step 3: Cross multiply
    8,474.10x = 11,695.08 × 4,698.50
  4. Step 4: Simplify right side
    8,474.10x = 54,949,274.90
  5. Step 5: Solve for x
    x = 54,949,274.90/8,474.10
  6. Step 6: Final answer
    x = 6,484.38

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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.