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Finding the Fourth Proportional to 12,976.40, 19,464.60 and 7,792.40

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Solution

The fourth proportional to 12,976.40, 19,464.60 and 7,792.40 is: 11,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,976.40 : 19,464.60 = 7,792.40 : x
  2. Step 2: Convert to fraction form
    12,976.40/19,464.60 = 7,792.40/x
  3. Step 3: Cross multiply
    12,976.40x = 19,464.60 × 7,792.40
  4. Step 4: Simplify right side
    12,976.40x = 151,675,949.04
  5. Step 5: Solve for x
    x = 151,675,949.04/12,976.40
  6. Step 6: Final answer
    x = 11,688.60

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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.