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Finding the Fourth Proportional to 9,598.50, 13,238.64 and 6,619.32

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Solution

The fourth proportional to 9,598.50, 13,238.64 and 6,619.32 is: 9,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.50 : 13,238.64 = 6,619.32 : x
  2. Step 2: Convert to fraction form
    9,598.50/13,238.64 = 6,619.32/x
  3. Step 3: Cross multiply
    9,598.50x = 13,238.64 × 6,619.32
  4. Step 4: Simplify right side
    9,598.50x = 87,630,794.52
  5. Step 5: Solve for x
    x = 87,630,794.52/9,598.50
  6. Step 6: Final answer
    x = 9,129.63

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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.