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Finding the Fourth Proportional to 9,235.17, 13,852.67 and 2,309.67

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Solution

The fourth proportional to 9,235.17, 13,852.67 and 2,309.67 is: 3,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.17 : 13,852.67 = 2,309.67 : x
  2. Step 2: Convert to fraction form
    9,235.17/13,852.67 = 2,309.67/x
  3. Step 3: Cross multiply
    9,235.17x = 13,852.67 × 2,309.67
  4. Step 4: Simplify right side
    9,235.17x = 31,995,084.77
  5. Step 5: Solve for x
    x = 31,995,084.77/9,235.17
  6. Step 6: Final answer
    x = 3,464.48

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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.