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Finding the Fourth Proportional to 9,994, 13,791.72 and 5,804.68

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Solution

The fourth proportional to 9,994, 13,791.72 and 5,804.68 is: 8,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994 : 13,791.72 = 5,804.68 : x
  2. Step 2: Convert to fraction form
    9,994/13,791.72 = 5,804.68/x
  3. Step 3: Cross multiply
    9,994x = 13,791.72 × 5,804.68
  4. Step 4: Simplify right side
    9,994x = 80,056,521.25
  5. Step 5: Solve for x
    x = 80,056,521.25/9,994
  6. Step 6: Final answer
    x = 8,010.46

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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.