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Finding the Fourth Proportional to 8,967.60, 13,435.96 and 6,997.12

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Solution

The fourth proportional to 8,967.60, 13,435.96 and 6,997.12 is: 10,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.60 : 13,435.96 = 6,997.12 : x
  2. Step 2: Convert to fraction form
    8,967.60/13,435.96 = 6,997.12/x
  3. Step 3: Cross multiply
    8,967.60x = 13,435.96 × 6,997.12
  4. Step 4: Simplify right side
    8,967.60x = 94,013,024.44
  5. Step 5: Solve for x
    x = 94,013,024.44/8,967.60
  6. Step 6: Final answer
    x = 10,483.63

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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.