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Finding the Fourth Proportional to 10,923.40, 16,348.65 and 9,611.20

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Solution

The fourth proportional to 10,923.40, 16,348.65 and 9,611.20 is: 14,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.40 : 16,348.65 = 9,611.20 : x
  2. Step 2: Convert to fraction form
    10,923.40/16,348.65 = 9,611.20/x
  3. Step 3: Cross multiply
    10,923.40x = 16,348.65 × 9,611.20
  4. Step 4: Simplify right side
    10,923.40x = 157,130,144.88
  5. Step 5: Solve for x
    x = 157,130,144.88/10,923.40
  6. Step 6: Final answer
    x = 14,384.73

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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.