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Finding the Fourth Proportional to 10,656.61, 14,706.19 and 5,941.19

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Solution

The fourth proportional to 10,656.61, 14,706.19 and 5,941.19 is: 8,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.61 : 14,706.19 = 5,941.19 : x
  2. Step 2: Convert to fraction form
    10,656.61/14,706.19 = 5,941.19/x
  3. Step 3: Cross multiply
    10,656.61x = 14,706.19 × 5,941.19
  4. Step 4: Simplify right side
    10,656.61x = 87,372,268.97
  5. Step 5: Solve for x
    x = 87,372,268.97/10,656.61
  6. Step 6: Final answer
    x = 8,198.88

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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.