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Finding the Fourth Proportional to 37,293.66, 55,940.49 and 9,589.50

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Solution

The fourth proportional to 37,293.66, 55,940.49 and 9,589.50 is: 14,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,293.66 : 55,940.49 = 9,589.50 : x
  2. Step 2: Convert to fraction form
    37,293.66/55,940.49 = 9,589.50/x
  3. Step 3: Cross multiply
    37,293.66x = 55,940.49 × 9,589.50
  4. Step 4: Simplify right side
    37,293.66x = 536,441,328.86
  5. Step 5: Solve for x
    x = 536,441,328.86/37,293.66
  6. Step 6: Final answer
    x = 14,384.25

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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.