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Finding the Fourth Proportional to 30,842.64, 46,263.80 and 7,469.08

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Solution

The fourth proportional to 30,842.64, 46,263.80 and 7,469.08 is: 11,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.64 : 46,263.80 = 7,469.08 : x
  2. Step 2: Convert to fraction form
    30,842.64/46,263.80 = 7,469.08/x
  3. Step 3: Cross multiply
    30,842.64x = 46,263.80 × 7,469.08
  4. Step 4: Simplify right side
    30,842.64x = 345,548,023.30
  5. Step 5: Solve for x
    x = 345,548,023.30/30,842.64
  6. Step 6: Final answer
    x = 11,203.58

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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.