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Finding the Fourth Proportional to 9,029.54, 13,505.43 and 8,035.94

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Solution

The fourth proportional to 9,029.54, 13,505.43 and 8,035.94 is: 12,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.54 : 13,505.43 = 8,035.94 : x
  2. Step 2: Convert to fraction form
    9,029.54/13,505.43 = 8,035.94/x
  3. Step 3: Cross multiply
    9,029.54x = 13,505.43 × 8,035.94
  4. Step 4: Simplify right side
    9,029.54x = 108,528,825.15
  5. Step 5: Solve for x
    x = 108,528,825.15/9,029.54
  6. Step 6: Final answer
    x = 12,019.31

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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.