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Finding the Fourth Proportional to 9,734.21, 14,602.13 and 5,863.22

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Solution

The fourth proportional to 9,734.21, 14,602.13 and 5,863.22 is: 8,795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.21 : 14,602.13 = 5,863.22 : x
  2. Step 2: Convert to fraction form
    9,734.21/14,602.13 = 5,863.22/x
  3. Step 3: Cross multiply
    9,734.21x = 14,602.13 × 5,863.22
  4. Step 4: Simplify right side
    9,734.21x = 85,615,500.66
  5. Step 5: Solve for x
    x = 85,615,500.66/9,734.21
  6. Step 6: Final answer
    x = 8,795.32

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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.