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Finding the Fourth Proportional to 14,643.76, 21,947.28 and 6,314.32

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Solution

The fourth proportional to 14,643.76, 21,947.28 and 6,314.32 is: 9,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.76 : 21,947.28 = 6,314.32 : x
  2. Step 2: Convert to fraction form
    14,643.76/21,947.28 = 6,314.32/x
  3. Step 3: Cross multiply
    14,643.76x = 21,947.28 × 6,314.32
  4. Step 4: Simplify right side
    14,643.76x = 138,582,149.05
  5. Step 5: Solve for x
    x = 138,582,149.05/14,643.76
  6. Step 6: Final answer
    x = 9,463.56

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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.