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Finding the Fourth Proportional to 9,906.58, 13,663.53 and 6,322.63

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Solution

The fourth proportional to 9,906.58, 13,663.53 and 6,322.63 is: 8,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.58 : 13,663.53 = 6,322.63 : x
  2. Step 2: Convert to fraction form
    9,906.58/13,663.53 = 6,322.63/x
  3. Step 3: Cross multiply
    9,906.58x = 13,663.53 × 6,322.63
  4. Step 4: Simplify right side
    9,906.58x = 86,389,444.68
  5. Step 5: Solve for x
    x = 86,389,444.68/9,906.58
  6. Step 6: Final answer
    x = 8,720.41

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1.5x scale

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.