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Finding the Fourth Proportional to 7,152.24, 9,867.77 and 4,636.30

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Solution

The fourth proportional to 7,152.24, 9,867.77 and 4,636.30 is: 6,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.24 : 9,867.77 = 4,636.30 : x
  2. Step 2: Convert to fraction form
    7,152.24/9,867.77 = 4,636.30/x
  3. Step 3: Cross multiply
    7,152.24x = 9,867.77 × 4,636.30
  4. Step 4: Simplify right side
    7,152.24x = 45,749,942.05
  5. Step 5: Solve for x
    x = 45,749,942.05/7,152.24
  6. Step 6: Final answer
    x = 6,396.59

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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.