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Finding the Fourth Proportional to 9,663.22, 13,362.08 and 7,670.31

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Solution

The fourth proportional to 9,663.22, 13,362.08 and 7,670.31 is: 10,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.22 : 13,362.08 = 7,670.31 : x
  2. Step 2: Convert to fraction form
    9,663.22/13,362.08 = 7,670.31/x
  3. Step 3: Cross multiply
    9,663.22x = 13,362.08 × 7,670.31
  4. Step 4: Simplify right side
    9,663.22x = 102,491,329.25
  5. Step 5: Solve for x
    x = 102,491,329.25/9,663.22
  6. Step 6: Final answer
    x = 10,606.34

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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.