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Finding the Fourth Proportional to 10,627.08, 14,664.66 and 6,648

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Solution

The fourth proportional to 10,627.08, 14,664.66 and 6,648 is: 9,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.08 : 14,664.66 = 6,648 : x
  2. Step 2: Convert to fraction form
    10,627.08/14,664.66 = 6,648/x
  3. Step 3: Cross multiply
    10,627.08x = 14,664.66 × 6,648
  4. Step 4: Simplify right side
    10,627.08x = 97,490,659.68
  5. Step 5: Solve for x
    x = 97,490,659.68/10,627.08
  6. Step 6: Final answer
    x = 9,173.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.