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Finding the Fourth Proportional to 30,858.42, 46,287.76 and 7,484.84

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Solution

The fourth proportional to 30,858.42, 46,287.76 and 7,484.84 is: 11,227.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.42 : 46,287.76 = 7,484.84 : x
  2. Step 2: Convert to fraction form
    30,858.42/46,287.76 = 7,484.84/x
  3. Step 3: Cross multiply
    30,858.42x = 46,287.76 × 7,484.84
  4. Step 4: Simplify right side
    30,858.42x = 346,456,477.56
  5. Step 5: Solve for x
    x = 346,456,477.56/30,858.42
  6. Step 6: Final answer
    x = 11,227.29

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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.