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Finding the Fourth Proportional to 14,809.96, 22,189.02 and 8,641

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Solution

The fourth proportional to 14,809.96, 22,189.02 and 8,641 is: 12,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.96 : 22,189.02 = 8,641 : x
  2. Step 2: Convert to fraction form
    14,809.96/22,189.02 = 8,641/x
  3. Step 3: Cross multiply
    14,809.96x = 22,189.02 × 8,641
  4. Step 4: Simplify right side
    14,809.96x = 191,735,321.82
  5. Step 5: Solve for x
    x = 191,735,321.82/14,809.96
  6. Step 6: Final answer
    x = 12,946.38

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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.