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Finding the Fourth Proportional to 10,713.64, 14,786.02 and 5,999.08

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Solution

The fourth proportional to 10,713.64, 14,786.02 and 5,999.08 is: 8,279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.64 : 14,786.02 = 5,999.08 : x
  2. Step 2: Convert to fraction form
    10,713.64/14,786.02 = 5,999.08/x
  3. Step 3: Cross multiply
    10,713.64x = 14,786.02 × 5,999.08
  4. Step 4: Simplify right side
    10,713.64x = 88,702,516.86
  5. Step 5: Solve for x
    x = 88,702,516.86/10,713.64
  6. Step 6: Final answer
    x = 8,279.40

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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.