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Finding the Fourth Proportional to 37,484.75, 56,230.37 and 9,782.75

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Solution

The fourth proportional to 37,484.75, 56,230.37 and 9,782.75 is: 14,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,484.75 : 56,230.37 = 9,782.75 : x
  2. Step 2: Convert to fraction form
    37,484.75/56,230.37 = 9,782.75/x
  3. Step 3: Cross multiply
    37,484.75x = 56,230.37 × 9,782.75
  4. Step 4: Simplify right side
    37,484.75x = 550,087,652.12
  5. Step 5: Solve for x
    x = 550,087,652.12/37,484.75
  6. Step 6: Final answer
    x = 14,674.97

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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.