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Finding the Fourth Proportional to 30,543.64, 45,815.99 and 9,767.14

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Solution

The fourth proportional to 30,543.64, 45,815.99 and 9,767.14 is: 14,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.64 : 45,815.99 = 9,767.14 : x
  2. Step 2: Convert to fraction form
    30,543.64/45,815.99 = 9,767.14/x
  3. Step 3: Cross multiply
    30,543.64x = 45,815.99 × 9,767.14
  4. Step 4: Simplify right side
    30,543.64x = 447,491,188.57
  5. Step 5: Solve for x
    x = 447,491,188.57/30,543.64
  6. Step 6: Final answer
    x = 14,650.88

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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.