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Finding the Fourth Proportional to 23,684.42, 35,522.76 and 9,643.88

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Solution

The fourth proportional to 23,684.42, 35,522.76 and 9,643.88 is: 14,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.42 : 35,522.76 = 9,643.88 : x
  2. Step 2: Convert to fraction form
    23,684.42/35,522.76 = 9,643.88/x
  3. Step 3: Cross multiply
    23,684.42x = 35,522.76 × 9,643.88
  4. Step 4: Simplify right side
    23,684.42x = 342,577,234.71
  5. Step 5: Solve for x
    x = 342,577,234.71/23,684.42
  6. Step 6: Final answer
    x = 14,464.24

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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.