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Finding the Fourth Proportional to 9,646.92, 13,314.65 and 6,107.63

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Solution

The fourth proportional to 9,646.92, 13,314.65 and 6,107.63 is: 8,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.92 : 13,314.65 = 6,107.63 : x
  2. Step 2: Convert to fraction form
    9,646.92/13,314.65 = 6,107.63/x
  3. Step 3: Cross multiply
    9,646.92x = 13,314.65 × 6,107.63
  4. Step 4: Simplify right side
    9,646.92x = 81,320,858.67
  5. Step 5: Solve for x
    x = 81,320,858.67/9,646.92
  6. Step 6: Final answer
    x = 8,429.72

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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.