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Finding the Fourth Proportional to 5,724.67, 8,509.81 and 5,556.51

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Solution

The fourth proportional to 5,724.67, 8,509.81 and 5,556.51 is: 8,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.67 : 8,509.81 = 5,556.51 : x
  2. Step 2: Convert to fraction form
    5,724.67/8,509.81 = 5,556.51/x
  3. Step 3: Cross multiply
    5,724.67x = 8,509.81 × 5,556.51
  4. Step 4: Simplify right side
    5,724.67x = 47,284,844.36
  5. Step 5: Solve for x
    x = 47,284,844.36/5,724.67
  6. Step 6: Final answer
    x = 8,259.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.