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Finding the Fourth Proportional to 10,656.66, 14,704.99 and 6,178.78

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Solution

The fourth proportional to 10,656.66, 14,704.99 and 6,178.78 is: 8,526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.66 : 14,704.99 = 6,178.78 : x
  2. Step 2: Convert to fraction form
    10,656.66/14,704.99 = 6,178.78/x
  3. Step 3: Cross multiply
    10,656.66x = 14,704.99 × 6,178.78
  4. Step 4: Simplify right side
    10,656.66x = 90,858,935.80
  5. Step 5: Solve for x
    x = 90,858,935.80/10,656.66
  6. Step 6: Final answer
    x = 8,526.02

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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.