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Finding the Fourth Proportional to 9,405.74, 14,163.54 and 6,957.78

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Solution

The fourth proportional to 9,405.74, 14,163.54 and 6,957.78 is: 10,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.74 : 14,163.54 = 6,957.78 : x
  2. Step 2: Convert to fraction form
    9,405.74/14,163.54 = 6,957.78/x
  3. Step 3: Cross multiply
    9,405.74x = 14,163.54 × 6,957.78
  4. Step 4: Simplify right side
    9,405.74x = 98,546,795.34
  5. Step 5: Solve for x
    x = 98,546,795.34/9,405.74
  6. Step 6: Final answer
    x = 10,477.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.