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Finding the Fourth Proportional to 6,957.84, 9,601.80 and 3,813.96

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Solution

The fourth proportional to 6,957.84, 9,601.80 and 3,813.96 is: 5,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.84 : 9,601.80 = 3,813.96 : x
  2. Step 2: Convert to fraction form
    6,957.84/9,601.80 = 3,813.96/x
  3. Step 3: Cross multiply
    6,957.84x = 9,601.80 × 3,813.96
  4. Step 4: Simplify right side
    6,957.84x = 36,620,881.13
  5. Step 5: Solve for x
    x = 36,620,881.13/6,957.84
  6. Step 6: Final answer
    x = 5,263.25

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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.