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Finding the Fourth Proportional to 7,763.54, 11,630.73 and 6,023.66

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Solution

The fourth proportional to 7,763.54, 11,630.73 and 6,023.66 is: 9,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.54 : 11,630.73 = 6,023.66 : x
  2. Step 2: Convert to fraction form
    7,763.54/11,630.73 = 6,023.66/x
  3. Step 3: Cross multiply
    7,763.54x = 11,630.73 × 6,023.66
  4. Step 4: Simplify right side
    7,763.54x = 70,059,563.07
  5. Step 5: Solve for x
    x = 70,059,563.07/7,763.54
  6. Step 6: Final answer
    x = 9,024.18

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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.