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Finding the Fourth Proportional to 37,263.81, 55,895.22 and 9,184.20

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Solution

The fourth proportional to 37,263.81, 55,895.22 and 9,184.20 is: 13,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,263.81 : 55,895.22 = 9,184.20 : x
  2. Step 2: Convert to fraction form
    37,263.81/55,895.22 = 9,184.20/x
  3. Step 3: Cross multiply
    37,263.81x = 55,895.22 × 9,184.20
  4. Step 4: Simplify right side
    37,263.81x = 513,352,879.52
  5. Step 5: Solve for x
    x = 513,352,879.52/37,263.81
  6. Step 6: Final answer
    x = 13,776.18

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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.