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Finding the Fourth Proportional to 9,684.87, 14,515.62 and 5,002.32

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Solution

The fourth proportional to 9,684.87, 14,515.62 and 5,002.32 is: 7,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.87 : 14,515.62 = 5,002.32 : x
  2. Step 2: Convert to fraction form
    9,684.87/14,515.62 = 5,002.32/x
  3. Step 3: Cross multiply
    9,684.87x = 14,515.62 × 5,002.32
  4. Step 4: Simplify right side
    9,684.87x = 72,611,776.24
  5. Step 5: Solve for x
    x = 72,611,776.24/9,684.87
  6. Step 6: Final answer
    x = 7,497.44

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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.