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Finding the Fourth Proportional to 9,509.79, 14,264.28 and 2,489.69

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Solution

The fourth proportional to 9,509.79, 14,264.28 and 2,489.69 is: 3,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.79 : 14,264.28 = 2,489.69 : x
  2. Step 2: Convert to fraction form
    9,509.79/14,264.28 = 2,489.69/x
  3. Step 3: Cross multiply
    9,509.79x = 14,264.28 × 2,489.69
  4. Step 4: Simplify right side
    9,509.79x = 35,513,635.27
  5. Step 5: Solve for x
    x = 35,513,635.27/9,509.79
  6. Step 6: Final answer
    x = 3,734.43

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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.