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Finding the Fourth Proportional to 7,035.46, 9,708.54 and 3,848.12

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Solution

The fourth proportional to 7,035.46, 9,708.54 and 3,848.12 is: 5,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.46 : 9,708.54 = 3,848.12 : x
  2. Step 2: Convert to fraction form
    7,035.46/9,708.54 = 3,848.12/x
  3. Step 3: Cross multiply
    7,035.46x = 9,708.54 × 3,848.12
  4. Step 4: Simplify right side
    7,035.46x = 37,359,626.94
  5. Step 5: Solve for x
    x = 37,359,626.94/7,035.46
  6. Step 6: Final answer
    x = 5,310.19

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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.