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Finding the Fourth Proportional to 12,464.76, 17,201.40 and 7,749.02

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Solution

The fourth proportional to 12,464.76, 17,201.40 and 7,749.02 is: 10,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.76 : 17,201.40 = 7,749.02 : x
  2. Step 2: Convert to fraction form
    12,464.76/17,201.40 = 7,749.02/x
  3. Step 3: Cross multiply
    12,464.76x = 17,201.40 × 7,749.02
  4. Step 4: Simplify right side
    12,464.76x = 133,293,992.63
  5. Step 5: Solve for x
    x = 133,293,992.63/12,464.76
  6. Step 6: Final answer
    x = 10,693.67

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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.