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Finding the Fourth Proportional to 37,188.75, 55,783.14 and 9,486.75

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Solution

The fourth proportional to 37,188.75, 55,783.14 and 9,486.75 is: 14,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,188.75 : 55,783.14 = 9,486.75 : x
  2. Step 2: Convert to fraction form
    37,188.75/55,783.14 = 9,486.75/x
  3. Step 3: Cross multiply
    37,188.75x = 55,783.14 × 9,486.75
  4. Step 4: Simplify right side
    37,188.75x = 529,200,703.40
  5. Step 5: Solve for x
    x = 529,200,703.40/37,188.75
  6. Step 6: Final answer
    x = 14,230.13

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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.