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Finding the Fourth Proportional to 7,854.44, 10,838.54 and 4,496.44

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Solution

The fourth proportional to 7,854.44, 10,838.54 and 4,496.44 is: 6,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.44 : 10,838.54 = 4,496.44 : x
  2. Step 2: Convert to fraction form
    7,854.44/10,838.54 = 4,496.44/x
  3. Step 3: Cross multiply
    7,854.44x = 10,838.54 × 4,496.44
  4. Step 4: Simplify right side
    7,854.44x = 48,734,844.80
  5. Step 5: Solve for x
    x = 48,734,844.80/7,854.44
  6. Step 6: Final answer
    x = 6,204.75

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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.