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Finding the Fourth Proportional to 9,798.81, 13,524.56 and 6,025.25

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Solution

The fourth proportional to 9,798.81, 13,524.56 and 6,025.25 is: 8,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.81 : 13,524.56 = 6,025.25 : x
  2. Step 2: Convert to fraction form
    9,798.81/13,524.56 = 6,025.25/x
  3. Step 3: Cross multiply
    9,798.81x = 13,524.56 × 6,025.25
  4. Step 4: Simplify right side
    9,798.81x = 81,488,855.14
  5. Step 5: Solve for x
    x = 81,488,855.14/9,798.81
  6. Step 6: Final answer
    x = 8,316.20

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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.