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Finding the Fourth Proportional to 14,643, 20,207.31 and 7,928.63

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Solution

The fourth proportional to 14,643, 20,207.31 and 7,928.63 is: 10,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643 : 20,207.31 = 7,928.63 : x
  2. Step 2: Convert to fraction form
    14,643/20,207.31 = 7,928.63/x
  3. Step 3: Cross multiply
    14,643x = 20,207.31 × 7,928.63
  4. Step 4: Simplify right side
    14,643x = 160,216,183.25
  5. Step 5: Solve for x
    x = 160,216,183.25/14,643
  6. Step 6: Final answer
    x = 10,941.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.