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Finding the Fourth Proportional to 7,054.38, 9,736.08 and 4,069.62

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Solution

The fourth proportional to 7,054.38, 9,736.08 and 4,069.62 is: 5,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.38 : 9,736.08 = 4,069.62 : x
  2. Step 2: Convert to fraction form
    7,054.38/9,736.08 = 4,069.62/x
  3. Step 3: Cross multiply
    7,054.38x = 9,736.08 × 4,069.62
  4. Step 4: Simplify right side
    7,054.38x = 39,622,145.89
  5. Step 5: Solve for x
    x = 39,622,145.89/7,054.38
  6. Step 6: Final answer
    x = 5,616.67

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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.