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Finding the Fourth Proportional to 30,794.63, 46,191.87 and 7,421.07

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Solution

The fourth proportional to 30,794.63, 46,191.87 and 7,421.07 is: 11,131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.63 : 46,191.87 = 7,421.07 : x
  2. Step 2: Convert to fraction form
    30,794.63/46,191.87 = 7,421.07/x
  3. Step 3: Cross multiply
    30,794.63x = 46,191.87 × 7,421.07
  4. Step 4: Simplify right side
    30,794.63x = 342,793,014.09
  5. Step 5: Solve for x
    x = 342,793,014.09/30,794.63
  6. Step 6: Final answer
    x = 11,131.58

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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.