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Finding the Fourth Proportional to 13,608.64, 18,779.92 and 7,947.28

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Solution

The fourth proportional to 13,608.64, 18,779.92 and 7,947.28 is: 10,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608.64 : 18,779.92 = 7,947.28 : x
  2. Step 2: Convert to fraction form
    13,608.64/18,779.92 = 7,947.28/x
  3. Step 3: Cross multiply
    13,608.64x = 18,779.92 × 7,947.28
  4. Step 4: Simplify right side
    13,608.64x = 149,249,282.62
  5. Step 5: Solve for x
    x = 149,249,282.62/13,608.64
  6. Step 6: Final answer
    x = 10,967.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.