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Finding the Fourth Proportional to 30,794.09, 46,191.11 and 7,420.50

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Solution

The fourth proportional to 30,794.09, 46,191.11 and 7,420.50 is: 11,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.09 : 46,191.11 = 7,420.50 : x
  2. Step 2: Convert to fraction form
    30,794.09/46,191.11 = 7,420.50/x
  3. Step 3: Cross multiply
    30,794.09x = 46,191.11 × 7,420.50
  4. Step 4: Simplify right side
    30,794.09x = 342,761,094.65
  5. Step 5: Solve for x
    x = 342,761,094.65/30,794.09
  6. Step 6: Final answer
    x = 11,130.74

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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.