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Finding the Fourth Proportional to 7,824.52, 10,798.01 and 4,287.97

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Solution

The fourth proportional to 7,824.52, 10,798.01 and 4,287.97 is: 5,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.52 : 10,798.01 = 4,287.97 : x
  2. Step 2: Convert to fraction form
    7,824.52/10,798.01 = 4,287.97/x
  3. Step 3: Cross multiply
    7,824.52x = 10,798.01 × 4,287.97
  4. Step 4: Simplify right side
    7,824.52x = 46,301,542.94
  5. Step 5: Solve for x
    x = 46,301,542.94/7,824.52
  6. Step 6: Final answer
    x = 5,917.49

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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.