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Finding the Fourth Proportional to 6,784.51, 9,368.03 and 4,518.06

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Solution

The fourth proportional to 6,784.51, 9,368.03 and 4,518.06 is: 6,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.51 : 9,368.03 = 4,518.06 : x
  2. Step 2: Convert to fraction form
    6,784.51/9,368.03 = 4,518.06/x
  3. Step 3: Cross multiply
    6,784.51x = 9,368.03 × 4,518.06
  4. Step 4: Simplify right side
    6,784.51x = 42,325,321.62
  5. Step 5: Solve for x
    x = 42,325,321.62/6,784.51
  6. Step 6: Final answer
    x = 6,238.52

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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.