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Finding the Fourth Proportional to 7,652.66, 11,483.43 and 3,209.93

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Solution

The fourth proportional to 7,652.66, 11,483.43 and 3,209.93 is: 4,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.66 : 11,483.43 = 3,209.93 : x
  2. Step 2: Convert to fraction form
    7,652.66/11,483.43 = 3,209.93/x
  3. Step 3: Cross multiply
    7,652.66x = 11,483.43 × 3,209.93
  4. Step 4: Simplify right side
    7,652.66x = 36,861,019.12
  5. Step 5: Solve for x
    x = 36,861,019.12/7,652.66
  6. Step 6: Final answer
    x = 4,816.76

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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.