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Finding the Fourth Proportional to 9,535.92, 14,307.48 and 3,993

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Solution

The fourth proportional to 9,535.92, 14,307.48 and 3,993 is: 5,991.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.92 : 14,307.48 = 3,993 : x
  2. Step 2: Convert to fraction form
    9,535.92/14,307.48 = 3,993/x
  3. Step 3: Cross multiply
    9,535.92x = 14,307.48 × 3,993
  4. Step 4: Simplify right side
    9,535.92x = 57,129,767.64
  5. Step 5: Solve for x
    x = 57,129,767.64/9,535.92
  6. Step 6: Final answer
    x = 5,991.01

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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.