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Finding the Fourth Proportional to 9,794.32, 14,679.60 and 3,947.20

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Solution

The fourth proportional to 9,794.32, 14,679.60 and 3,947.20 is: 5,916.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.32 : 14,679.60 = 3,947.20 : x
  2. Step 2: Convert to fraction form
    9,794.32/14,679.60 = 3,947.20/x
  3. Step 3: Cross multiply
    9,794.32x = 14,679.60 × 3,947.20
  4. Step 4: Simplify right side
    9,794.32x = 57,943,317.12
  5. Step 5: Solve for x
    x = 57,943,317.12/9,794.32
  6. Step 6: Final answer
    x = 5,916.01

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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.