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Finding the Fourth Proportional to 13,109.16, 19,666.44 and 7,253.46

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Solution

The fourth proportional to 13,109.16, 19,666.44 and 7,253.46 is: 10,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.16 : 19,666.44 = 7,253.46 : x
  2. Step 2: Convert to fraction form
    13,109.16/19,666.44 = 7,253.46/x
  3. Step 3: Cross multiply
    13,109.16x = 19,666.44 × 7,253.46
  4. Step 4: Simplify right side
    13,109.16x = 142,649,735.88
  5. Step 5: Solve for x
    x = 142,649,735.88/13,109.16
  6. Step 6: Final answer
    x = 10,881.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.