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Finding the Fourth Proportional to 7,133.88, 10,698.12 and 3,435.24

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Solution

The fourth proportional to 7,133.88, 10,698.12 and 3,435.24 is: 5,151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.88 : 10,698.12 = 3,435.24 : x
  2. Step 2: Convert to fraction form
    7,133.88/10,698.12 = 3,435.24/x
  3. Step 3: Cross multiply
    7,133.88x = 10,698.12 × 3,435.24
  4. Step 4: Simplify right side
    7,133.88x = 36,750,609.75
  5. Step 5: Solve for x
    x = 36,750,609.75/7,133.88
  6. Step 6: Final answer
    x = 5,151.56

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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.