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Finding the Fourth Proportional to 6,838.76, 9,438 and 3,854.87

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Solution

The fourth proportional to 6,838.76, 9,438 and 3,854.87 is: 5,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.76 : 9,438 = 3,854.87 : x
  2. Step 2: Convert to fraction form
    6,838.76/9,438 = 3,854.87/x
  3. Step 3: Cross multiply
    6,838.76x = 9,438 × 3,854.87
  4. Step 4: Simplify right side
    6,838.76x = 36,382,263.06
  5. Step 5: Solve for x
    x = 36,382,263.06/6,838.76
  6. Step 6: Final answer
    x = 5,320.01

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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.