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Finding the Fourth Proportional to 9,646, 14,462.52 and 4,449.04

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Solution

The fourth proportional to 9,646, 14,462.52 and 4,449.04 is: 6,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646 : 14,462.52 = 4,449.04 : x
  2. Step 2: Convert to fraction form
    9,646/14,462.52 = 4,449.04/x
  3. Step 3: Cross multiply
    9,646x = 14,462.52 × 4,449.04
  4. Step 4: Simplify right side
    9,646x = 64,344,329.98
  5. Step 5: Solve for x
    x = 64,344,329.98/9,646
  6. Step 6: Final answer
    x = 6,670.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.