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Finding the Fourth Proportional to 37,484.14, 56,226.22 and 9,782.14

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Solution

The fourth proportional to 37,484.14, 56,226.22 and 9,782.14 is: 14,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,484.14 : 56,226.22 = 9,782.14 : x
  2. Step 2: Convert to fraction form
    37,484.14/56,226.22 = 9,782.14/x
  3. Step 3: Cross multiply
    37,484.14x = 56,226.22 × 9,782.14
  4. Step 4: Simplify right side
    37,484.14x = 550,012,755.71
  5. Step 5: Solve for x
    x = 550,012,755.71/37,484.14
  6. Step 6: Final answer
    x = 14,673.21

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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.