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Finding the Fourth Proportional to 8,192.21, 11,305.22 and 4,656.10

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Solution

The fourth proportional to 8,192.21, 11,305.22 and 4,656.10 is: 6,425.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.21 : 11,305.22 = 4,656.10 : x
  2. Step 2: Convert to fraction form
    8,192.21/11,305.22 = 4,656.10/x
  3. Step 3: Cross multiply
    8,192.21x = 11,305.22 × 4,656.10
  4. Step 4: Simplify right side
    8,192.21x = 52,638,200.76
  5. Step 5: Solve for x
    x = 52,638,200.76/8,192.21
  6. Step 6: Final answer
    x = 6,425.40

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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.