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Finding the Fourth Proportional to 7,824.99, 10,798.48 and 4,288.20

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Solution

The fourth proportional to 7,824.99, 10,798.48 and 4,288.20 is: 5,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.99 : 10,798.48 = 4,288.20 : x
  2. Step 2: Convert to fraction form
    7,824.99/10,798.48 = 4,288.20/x
  3. Step 3: Cross multiply
    7,824.99x = 10,798.48 × 4,288.20
  4. Step 4: Simplify right side
    7,824.99x = 46,306,041.94
  5. Step 5: Solve for x
    x = 46,306,041.94/7,824.99
  6. Step 6: Final answer
    x = 5,917.71

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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.