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Finding the Fourth Proportional to 7,865.51, 11,798.17 and 3,184.25

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Solution

The fourth proportional to 7,865.51, 11,798.17 and 3,184.25 is: 4,776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.51 : 11,798.17 = 3,184.25 : x
  2. Step 2: Convert to fraction form
    7,865.51/11,798.17 = 3,184.25/x
  3. Step 3: Cross multiply
    7,865.51x = 11,798.17 × 3,184.25
  4. Step 4: Simplify right side
    7,865.51x = 37,568,322.82
  5. Step 5: Solve for x
    x = 37,568,322.82/7,865.51
  6. Step 6: Final answer
    x = 4,776.34

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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.