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Finding the Fourth Proportional to 7,850.94, 10,838.51 and 6,054.49

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Solution

The fourth proportional to 7,850.94, 10,838.51 and 6,054.49 is: 8,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.94 : 10,838.51 = 6,054.49 : x
  2. Step 2: Convert to fraction form
    7,850.94/10,838.51 = 6,054.49/x
  3. Step 3: Cross multiply
    7,850.94x = 10,838.51 × 6,054.49
  4. Step 4: Simplify right side
    7,850.94x = 65,621,650.41
  5. Step 5: Solve for x
    x = 65,621,650.41/7,850.94
  6. Step 6: Final answer
    x = 8,358.45

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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.