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Finding the Fourth Proportional to 7,235.43, 9,984.60 and 4,091.67

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Solution

The fourth proportional to 7,235.43, 9,984.60 and 4,091.67 is: 5,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.43 : 9,984.60 = 4,091.67 : x
  2. Step 2: Convert to fraction form
    7,235.43/9,984.60 = 4,091.67/x
  3. Step 3: Cross multiply
    7,235.43x = 9,984.60 × 4,091.67
  4. Step 4: Simplify right side
    7,235.43x = 40,853,688.28
  5. Step 5: Solve for x
    x = 40,853,688.28/7,235.43
  6. Step 6: Final answer
    x = 5,646.34

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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.