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Finding the Fourth Proportional to 37,491.50, 56,237.80 and 9,789.50

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Solution

The fourth proportional to 37,491.50, 56,237.80 and 9,789.50 is: 14,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,491.50 : 56,237.80 = 9,789.50 : x
  2. Step 2: Convert to fraction form
    37,491.50/56,237.80 = 9,789.50/x
  3. Step 3: Cross multiply
    37,491.50x = 56,237.80 × 9,789.50
  4. Step 4: Simplify right side
    37,491.50x = 550,539,943.10
  5. Step 5: Solve for x
    x = 550,539,943.10/37,491.50
  6. Step 6: Final answer
    x = 14,684.39

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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.