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Finding the Fourth Proportional to 9,760.14, 14,643.90 and 5,867.28

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Solution

The fourth proportional to 9,760.14, 14,643.90 and 5,867.28 is: 8,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.14 : 14,643.90 = 5,867.28 : x
  2. Step 2: Convert to fraction form
    9,760.14/14,643.90 = 5,867.28/x
  3. Step 3: Cross multiply
    9,760.14x = 14,643.90 × 5,867.28
  4. Step 4: Simplify right side
    9,760.14x = 85,919,861.59
  5. Step 5: Solve for x
    x = 85,919,861.59/9,760.14
  6. Step 6: Final answer
    x = 8,803.14

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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.