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Finding the Fourth Proportional to 10,632.64, 14,666.59 and 6,650.48

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Solution

The fourth proportional to 10,632.64, 14,666.59 and 6,650.48 is: 9,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.64 : 14,666.59 = 6,650.48 : x
  2. Step 2: Convert to fraction form
    10,632.64/14,666.59 = 6,650.48/x
  3. Step 3: Cross multiply
    10,632.64x = 14,666.59 × 6,650.48
  4. Step 4: Simplify right side
    10,632.64x = 97,539,863.46
  5. Step 5: Solve for x
    x = 97,539,863.46/10,632.64
  6. Step 6: Final answer
    x = 9,173.63

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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.