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Finding the Fourth Proportional to 8,352.25, 11,525.90 and 4,575.42

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Solution

The fourth proportional to 8,352.25, 11,525.90 and 4,575.42 is: 6,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.25 : 11,525.90 = 4,575.42 : x
  2. Step 2: Convert to fraction form
    8,352.25/11,525.90 = 4,575.42/x
  3. Step 3: Cross multiply
    8,352.25x = 11,525.90 × 4,575.42
  4. Step 4: Simplify right side
    8,352.25x = 52,735,810.50
  5. Step 5: Solve for x
    x = 52,735,810.50/8,352.25
  6. Step 6: Final answer
    x = 6,313.97

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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.