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Finding the Fourth Proportional to 14,563.41, 21,843.42 and 7,539.50

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Solution

The fourth proportional to 14,563.41, 21,843.42 and 7,539.50 is: 11,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.41 : 21,843.42 = 7,539.50 : x
  2. Step 2: Convert to fraction form
    14,563.41/21,843.42 = 7,539.50/x
  3. Step 3: Cross multiply
    14,563.41x = 21,843.42 × 7,539.50
  4. Step 4: Simplify right side
    14,563.41x = 164,688,465.09
  5. Step 5: Solve for x
    x = 164,688,465.09/14,563.41
  6. Step 6: Final answer
    x = 11,308.37

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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.