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Finding the Fourth Proportional to 6,957.50, 9,601.36 and 3,813.76

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Solution

The fourth proportional to 6,957.50, 9,601.36 and 3,813.76 is: 5,262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.50 : 9,601.36 = 3,813.76 : x
  2. Step 2: Convert to fraction form
    6,957.50/9,601.36 = 3,813.76/x
  3. Step 3: Cross multiply
    6,957.50x = 9,601.36 × 3,813.76
  4. Step 4: Simplify right side
    6,957.50x = 36,617,282.71
  5. Step 5: Solve for x
    x = 36,617,282.71/6,957.50
  6. Step 6: Final answer
    x = 5,262.99

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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.