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Finding the Fourth Proportional to 10,523.70, 15,785.55 and 9,600.30

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Solution

The fourth proportional to 10,523.70, 15,785.55 and 9,600.30 is: 14,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.70 : 15,785.55 = 9,600.30 : x
  2. Step 2: Convert to fraction form
    10,523.70/15,785.55 = 9,600.30/x
  3. Step 3: Cross multiply
    10,523.70x = 15,785.55 × 9,600.30
  4. Step 4: Simplify right side
    10,523.70x = 151,546,015.67
  5. Step 5: Solve for x
    x = 151,546,015.67/10,523.70
  6. Step 6: Final answer
    x = 14,400.45

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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.