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Finding the Fourth Proportional to 9,211, 13,804.06 and 5,044.72

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Solution

The fourth proportional to 9,211, 13,804.06 and 5,044.72 is: 7,560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211 : 13,804.06 = 5,044.72 : x
  2. Step 2: Convert to fraction form
    9,211/13,804.06 = 5,044.72/x
  3. Step 3: Cross multiply
    9,211x = 13,804.06 × 5,044.72
  4. Step 4: Simplify right side
    9,211x = 69,637,617.56
  5. Step 5: Solve for x
    x = 69,637,617.56/9,211
  6. Step 6: Final answer
    x = 7,560.27

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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.