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Finding the Fourth Proportional to 10,616.94, 14,654.79 and 6,426.54

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Solution

The fourth proportional to 10,616.94, 14,654.79 and 6,426.54 is: 8,870.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.94 : 14,654.79 = 6,426.54 : x
  2. Step 2: Convert to fraction form
    10,616.94/14,654.79 = 6,426.54/x
  3. Step 3: Cross multiply
    10,616.94x = 14,654.79 × 6,426.54
  4. Step 4: Simplify right side
    10,616.94x = 94,179,594.13
  5. Step 5: Solve for x
    x = 94,179,594.13/10,616.94
  6. Step 6: Final answer
    x = 8,870.69

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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.