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Finding the Fourth Proportional to 10,877.56, 14,997.90 and 9,196

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Solution

The fourth proportional to 10,877.56, 14,997.90 and 9,196 is: 12,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.56 : 14,997.90 = 9,196 : x
  2. Step 2: Convert to fraction form
    10,877.56/14,997.90 = 9,196/x
  3. Step 3: Cross multiply
    10,877.56x = 14,997.90 × 9,196
  4. Step 4: Simplify right side
    10,877.56x = 137,920,688.40
  5. Step 5: Solve for x
    x = 137,920,688.40/10,877.56
  6. Step 6: Final answer
    x = 12,679.38

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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.