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Finding the Fourth Proportional to 12,657.48, 17,467.11 and 7,352.34

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Solution

The fourth proportional to 12,657.48, 17,467.11 and 7,352.34 is: 10,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.48 : 17,467.11 = 7,352.34 : x
  2. Step 2: Convert to fraction form
    12,657.48/17,467.11 = 7,352.34/x
  3. Step 3: Cross multiply
    12,657.48x = 17,467.11 × 7,352.34
  4. Step 4: Simplify right side
    12,657.48x = 128,424,131.54
  5. Step 5: Solve for x
    x = 128,424,131.54/12,657.48
  6. Step 6: Final answer
    x = 10,146.11

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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.