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Finding the Fourth Proportional to 9,005.25, 13,509.42 and 4,009.44

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Solution

The fourth proportional to 9,005.25, 13,509.42 and 4,009.44 is: 6,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.25 : 13,509.42 = 4,009.44 : x
  2. Step 2: Convert to fraction form
    9,005.25/13,509.42 = 4,009.44/x
  3. Step 3: Cross multiply
    9,005.25x = 13,509.42 × 4,009.44
  4. Step 4: Simplify right side
    9,005.25x = 54,165,208.92
  5. Step 5: Solve for x
    x = 54,165,208.92/9,005.25
  6. Step 6: Final answer
    x = 6,014.85

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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.