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Finding the Fourth Proportional to 11,445.47, 15,795.09 and 6,409.67

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Solution

The fourth proportional to 11,445.47, 15,795.09 and 6,409.67 is: 8,845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445.47 : 15,795.09 = 6,409.67 : x
  2. Step 2: Convert to fraction form
    11,445.47/15,795.09 = 6,409.67/x
  3. Step 3: Cross multiply
    11,445.47x = 15,795.09 × 6,409.67
  4. Step 4: Simplify right side
    11,445.47x = 101,241,235.54
  5. Step 5: Solve for x
    x = 101,241,235.54/11,445.47
  6. Step 6: Final answer
    x = 8,845.53

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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.