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Finding the Fourth Proportional to 6,868, 10,301.52 and 3,582.94

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Solution

The fourth proportional to 6,868, 10,301.52 and 3,582.94 is: 5,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868 : 10,301.52 = 3,582.94 : x
  2. Step 2: Convert to fraction form
    6,868/10,301.52 = 3,582.94/x
  3. Step 3: Cross multiply
    6,868x = 10,301.52 × 3,582.94
  4. Step 4: Simplify right side
    6,868x = 36,909,728.07
  5. Step 5: Solve for x
    x = 36,909,728.07/6,868
  6. Step 6: Final answer
    x = 5,374.16

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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.