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Finding the Fourth Proportional to 8,735.96, 12,051.24 and 5,378.24

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Solution

The fourth proportional to 8,735.96, 12,051.24 and 5,378.24 is: 7,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.96 : 12,051.24 = 5,378.24 : x
  2. Step 2: Convert to fraction form
    8,735.96/12,051.24 = 5,378.24/x
  3. Step 3: Cross multiply
    8,735.96x = 12,051.24 × 5,378.24
  4. Step 4: Simplify right side
    8,735.96x = 64,814,461.02
  5. Step 5: Solve for x
    x = 64,814,461.02/8,735.96
  6. Step 6: Final answer
    x = 7,419.27

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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.