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Finding the Fourth Proportional to 6,884.94, 9,505.71 and 4,794.06

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Solution

The fourth proportional to 6,884.94, 9,505.71 and 4,794.06 is: 6,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.94 : 9,505.71 = 4,794.06 : x
  2. Step 2: Convert to fraction form
    6,884.94/9,505.71 = 4,794.06/x
  3. Step 3: Cross multiply
    6,884.94x = 9,505.71 × 4,794.06
  4. Step 4: Simplify right side
    6,884.94x = 45,570,944.08
  5. Step 5: Solve for x
    x = 45,570,944.08/6,884.94
  6. Step 6: Final answer
    x = 6,618.93

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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.