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Finding the Fourth Proportional to 9,964.25, 13,751.03 and 6,189.50

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Solution

The fourth proportional to 9,964.25, 13,751.03 and 6,189.50 is: 8,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.25 : 13,751.03 = 6,189.50 : x
  2. Step 2: Convert to fraction form
    9,964.25/13,751.03 = 6,189.50/x
  3. Step 3: Cross multiply
    9,964.25x = 13,751.03 × 6,189.50
  4. Step 4: Simplify right side
    9,964.25x = 85,112,000.19
  5. Step 5: Solve for x
    x = 85,112,000.19/9,964.25
  6. Step 6: Final answer
    x = 8,541.74

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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.