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Finding the Fourth Proportional to 30,858.10, 46,287.16 and 7,484.54

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Solution

The fourth proportional to 30,858.10, 46,287.16 and 7,484.54 is: 11,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.10 : 46,287.16 = 7,484.54 : x
  2. Step 2: Convert to fraction form
    30,858.10/46,287.16 = 7,484.54/x
  3. Step 3: Cross multiply
    30,858.10x = 46,287.16 × 7,484.54
  4. Step 4: Simplify right side
    30,858.10x = 346,438,110.72
  5. Step 5: Solve for x
    x = 346,438,110.72/30,858.10
  6. Step 6: Final answer
    x = 11,226.81

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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.