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Finding the Fourth Proportional to 7,136.81, 9,848.81 and 3,993

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Solution

The fourth proportional to 7,136.81, 9,848.81 and 3,993 is: 5,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.81 : 9,848.81 = 3,993 : x
  2. Step 2: Convert to fraction form
    7,136.81/9,848.81 = 3,993/x
  3. Step 3: Cross multiply
    7,136.81x = 9,848.81 × 3,993
  4. Step 4: Simplify right side
    7,136.81x = 39,326,298.33
  5. Step 5: Solve for x
    x = 39,326,298.33/7,136.81
  6. Step 6: Final answer
    x = 5,510.35

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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.