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Finding the Fourth Proportional to 9,794.00, 13,505.85 and 8,713.91

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Solution

The fourth proportional to 9,794.00, 13,505.85 and 8,713.91 is: 12,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.00 : 13,505.85 = 8,713.91 : x
  2. Step 2: Convert to fraction form
    9,794.00/13,505.85 = 8,713.91/x
  3. Step 3: Cross multiply
    9,794.00x = 13,505.85 × 8,713.91
  4. Step 4: Simplify right side
    9,794.00x = 117,688,693.84
  5. Step 5: Solve for x
    x = 117,688,693.84/9,794.00
  6. Step 6: Final answer
    x = 12,016.41

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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.