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Finding the Fourth Proportional to 9,497.34, 14,233.68 and 3,868.45

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Solution

The fourth proportional to 9,497.34, 14,233.68 and 3,868.45 is: 5,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.34 : 14,233.68 = 3,868.45 : x
  2. Step 2: Convert to fraction form
    9,497.34/14,233.68 = 3,868.45/x
  3. Step 3: Cross multiply
    9,497.34x = 14,233.68 × 3,868.45
  4. Step 4: Simplify right side
    9,497.34x = 55,062,188.89
  5. Step 5: Solve for x
    x = 55,062,188.89/9,497.34
  6. Step 6: Final answer
    x = 5,797.64

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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.