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Finding the Fourth Proportional to 9,235.44, 13,846.86 and 5,291.16

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Solution

The fourth proportional to 9,235.44, 13,846.86 and 5,291.16 is: 7,933.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.44 : 13,846.86 = 5,291.16 : x
  2. Step 2: Convert to fraction form
    9,235.44/13,846.86 = 5,291.16/x
  3. Step 3: Cross multiply
    9,235.44x = 13,846.86 × 5,291.16
  4. Step 4: Simplify right side
    9,235.44x = 73,265,951.76
  5. Step 5: Solve for x
    x = 73,265,951.76/9,235.44
  6. Step 6: Final answer
    x = 7,933.13

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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.