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Finding the Fourth Proportional to 30,797.81, 46,196.70 and 7,424.24

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Solution

The fourth proportional to 30,797.81, 46,196.70 and 7,424.24 is: 11,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.81 : 46,196.70 = 7,424.24 : x
  2. Step 2: Convert to fraction form
    30,797.81/46,196.70 = 7,424.24/x
  3. Step 3: Cross multiply
    30,797.81x = 46,196.70 × 7,424.24
  4. Step 4: Simplify right side
    30,797.81x = 342,975,157.02
  5. Step 5: Solve for x
    x = 342,975,157.02/30,797.81
  6. Step 6: Final answer
    x = 11,136.35

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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.