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Finding the Fourth Proportional to 9,659.40, 14,510.70 and 9,265.80

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Solution

The fourth proportional to 9,659.40, 14,510.70 and 9,265.80 is: 13,919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.40 : 14,510.70 = 9,265.80 : x
  2. Step 2: Convert to fraction form
    9,659.40/14,510.70 = 9,265.80/x
  3. Step 3: Cross multiply
    9,659.40x = 14,510.70 × 9,265.80
  4. Step 4: Simplify right side
    9,659.40x = 134,453,244.06
  5. Step 5: Solve for x
    x = 134,453,244.06/9,659.40
  6. Step 6: Final answer
    x = 13,919.42

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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.