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Finding the Fourth Proportional to 6,838.94, 10,258.41 and 5,281.22

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Solution

The fourth proportional to 6,838.94, 10,258.41 and 5,281.22 is: 7,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.94 : 10,258.41 = 5,281.22 : x
  2. Step 2: Convert to fraction form
    6,838.94/10,258.41 = 5,281.22/x
  3. Step 3: Cross multiply
    6,838.94x = 10,258.41 × 5,281.22
  4. Step 4: Simplify right side
    6,838.94x = 54,176,868.77
  5. Step 5: Solve for x
    x = 54,176,868.77/6,838.94
  6. Step 6: Final answer
    x = 7,921.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.