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Finding the Fourth Proportional to 9,050, 13,575.52 and 3,504.20

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Solution

The fourth proportional to 9,050, 13,575.52 and 3,504.20 is: 5,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050 : 13,575.52 = 3,504.20 : x
  2. Step 2: Convert to fraction form
    9,050/13,575.52 = 3,504.20/x
  3. Step 3: Cross multiply
    9,050x = 13,575.52 × 3,504.20
  4. Step 4: Simplify right side
    9,050x = 47,571,337.18
  5. Step 5: Solve for x
    x = 47,571,337.18/9,050
  6. Step 6: Final answer
    x = 5,256.50

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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.