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Finding the Fourth Proportional to 7,957.95, 10,974.63 and 5,409.54

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Solution

The fourth proportional to 7,957.95, 10,974.63 and 5,409.54 is: 7,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.95 : 10,974.63 = 5,409.54 : x
  2. Step 2: Convert to fraction form
    7,957.95/10,974.63 = 5,409.54/x
  3. Step 3: Cross multiply
    7,957.95x = 10,974.63 × 5,409.54
  4. Step 4: Simplify right side
    7,957.95x = 59,367,699.97
  5. Step 5: Solve for x
    x = 59,367,699.97/7,957.95
  6. Step 6: Final answer
    x = 7,460.18

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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.