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Finding the Fourth Proportional to 7,798.25, 11,700.28 and 4,680.49

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Solution

The fourth proportional to 7,798.25, 11,700.28 and 4,680.49 is: 7,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.25 : 11,700.28 = 4,680.49 : x
  2. Step 2: Convert to fraction form
    7,798.25/11,700.28 = 4,680.49/x
  3. Step 3: Cross multiply
    7,798.25x = 11,700.28 × 4,680.49
  4. Step 4: Simplify right side
    7,798.25x = 54,763,043.54
  5. Step 5: Solve for x
    x = 54,763,043.54/7,798.25
  6. Step 6: Final answer
    x = 7,022.48

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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.