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Finding the Fourth Proportional to 17,646, 24,350.67 and 9,688.35

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Solution

The fourth proportional to 17,646, 24,350.67 and 9,688.35 is: 13,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646 : 24,350.67 = 9,688.35 : x
  2. Step 2: Convert to fraction form
    17,646/24,350.67 = 9,688.35/x
  3. Step 3: Cross multiply
    17,646x = 24,350.67 × 9,688.35
  4. Step 4: Simplify right side
    17,646x = 235,917,813.69
  5. Step 5: Solve for x
    x = 235,917,813.69/17,646
  6. Step 6: Final answer
    x = 13,369.48

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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.