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Finding the Fourth Proportional to 12,884.90, 19,323.30 and 7,947.14

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Solution

The fourth proportional to 12,884.90, 19,323.30 and 7,947.14 is: 11,918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.90 : 19,323.30 = 7,947.14 : x
  2. Step 2: Convert to fraction form
    12,884.90/19,323.30 = 7,947.14/x
  3. Step 3: Cross multiply
    12,884.90x = 19,323.30 × 7,947.14
  4. Step 4: Simplify right side
    12,884.90x = 153,564,970.36
  5. Step 5: Solve for x
    x = 153,564,970.36/12,884.90
  6. Step 6: Final answer
    x = 11,918.21

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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.