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Finding the Fourth Proportional to 6,955.77, 9,599 and 3,812.07

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Solution

The fourth proportional to 6,955.77, 9,599 and 3,812.07 is: 5,260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.77 : 9,599 = 3,812.07 : x
  2. Step 2: Convert to fraction form
    6,955.77/9,599 = 3,812.07/x
  3. Step 3: Cross multiply
    6,955.77x = 9,599 × 3,812.07
  4. Step 4: Simplify right side
    6,955.77x = 36,592,059.93
  5. Step 5: Solve for x
    x = 36,592,059.93/6,955.77
  6. Step 6: Final answer
    x = 5,260.68

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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.