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Finding the Fourth Proportional to 8,474.86, 11,695.29 and 4,646.50

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Solution

The fourth proportional to 8,474.86, 11,695.29 and 4,646.50 is: 6,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.86 : 11,695.29 = 4,646.50 : x
  2. Step 2: Convert to fraction form
    8,474.86/11,695.29 = 4,646.50/x
  3. Step 3: Cross multiply
    8,474.86x = 11,695.29 × 4,646.50
  4. Step 4: Simplify right side
    8,474.86x = 54,342,164.99
  5. Step 5: Solve for x
    x = 54,342,164.99/8,474.86
  6. Step 6: Final answer
    x = 6,412.16

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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.