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Finding the Fourth Proportional to 10,997.68, 16,489.54 and 6,070.74

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Solution

The fourth proportional to 10,997.68, 16,489.54 and 6,070.74 is: 9,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.68 : 16,489.54 = 6,070.74 : x
  2. Step 2: Convert to fraction form
    10,997.68/16,489.54 = 6,070.74/x
  3. Step 3: Cross multiply
    10,997.68x = 16,489.54 × 6,070.74
  4. Step 4: Simplify right side
    10,997.68x = 100,103,710.06
  5. Step 5: Solve for x
    x = 100,103,710.06/10,997.68
  6. Step 6: Final answer
    x = 9,102.26

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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.