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Finding the Fourth Proportional to 37,188.07, 55,782.11 and 9,486.07

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Solution

The fourth proportional to 37,188.07, 55,782.11 and 9,486.07 is: 14,229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,188.07 : 55,782.11 = 9,486.07 : x
  2. Step 2: Convert to fraction form
    37,188.07/55,782.11 = 9,486.07/x
  3. Step 3: Cross multiply
    37,188.07x = 55,782.11 × 9,486.07
  4. Step 4: Simplify right side
    37,188.07x = 529,153,014.68
  5. Step 5: Solve for x
    x = 529,153,014.68/37,188.07
  6. Step 6: Final answer
    x = 14,229.11

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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.