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Finding the Fourth Proportional to 9,800.45, 13,523.86 and 6,023.56

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Solution

The fourth proportional to 9,800.45, 13,523.86 and 6,023.56 is: 8,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.45 : 13,523.86 = 6,023.56 : x
  2. Step 2: Convert to fraction form
    9,800.45/13,523.86 = 6,023.56/x
  3. Step 3: Cross multiply
    9,800.45x = 13,523.86 × 6,023.56
  4. Step 4: Simplify right side
    9,800.45x = 81,461,782.14
  5. Step 5: Solve for x
    x = 81,461,782.14/9,800.45
  6. Step 6: Final answer
    x = 8,312.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.