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Finding the Fourth Proportional to 13,004.19, 17,948.22 and 7,415.19

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Solution

The fourth proportional to 13,004.19, 17,948.22 and 7,415.19 is: 10,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.19 : 17,948.22 = 7,415.19 : x
  2. Step 2: Convert to fraction form
    13,004.19/17,948.22 = 7,415.19/x
  3. Step 3: Cross multiply
    13,004.19x = 17,948.22 × 7,415.19
  4. Step 4: Simplify right side
    13,004.19x = 133,089,424.39
  5. Step 5: Solve for x
    x = 133,089,424.39/13,004.19
  6. Step 6: Final answer
    x = 10,234.35

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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.