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Finding the Fourth Proportional to 15,600.88, 23,410.86 and 7,708.42

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Solution

The fourth proportional to 15,600.88, 23,410.86 and 7,708.42 is: 11,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,600.88 : 23,410.86 = 7,708.42 : x
  2. Step 2: Convert to fraction form
    15,600.88/23,410.86 = 7,708.42/x
  3. Step 3: Cross multiply
    15,600.88x = 23,410.86 × 7,708.42
  4. Step 4: Simplify right side
    15,600.88x = 180,460,741.44
  5. Step 5: Solve for x
    x = 180,460,741.44/15,600.88
  6. Step 6: Final answer
    x = 11,567.34

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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.