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Finding the Fourth Proportional to 13,004.01, 17,945.48 and 7,035.66

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Solution

The fourth proportional to 13,004.01, 17,945.48 and 7,035.66 is: 9,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.01 : 17,945.48 = 7,035.66 : x
  2. Step 2: Convert to fraction form
    13,004.01/17,945.48 = 7,035.66/x
  3. Step 3: Cross multiply
    13,004.01x = 17,945.48 × 7,035.66
  4. Step 4: Simplify right side
    13,004.01x = 126,258,313.41
  5. Step 5: Solve for x
    x = 126,258,313.41/13,004.01
  6. Step 6: Final answer
    x = 9,709.18

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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.