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Finding the Fourth Proportional to 7,693.92, 11,542.32 and 3,077.28

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Solution

The fourth proportional to 7,693.92, 11,542.32 and 3,077.28 is: 4,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.92 : 11,542.32 = 3,077.28 : x
  2. Step 2: Convert to fraction form
    7,693.92/11,542.32 = 3,077.28/x
  3. Step 3: Cross multiply
    7,693.92x = 11,542.32 × 3,077.28
  4. Step 4: Simplify right side
    7,693.92x = 35,518,950.49
  5. Step 5: Solve for x
    x = 35,518,950.49/7,693.92
  6. Step 6: Final answer
    x = 4,616.50

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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.