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Finding the Fourth Proportional to 6,504.54, 8,977.59 and 4,409.34

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Solution

The fourth proportional to 6,504.54, 8,977.59 and 4,409.34 is: 6,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.54 : 8,977.59 = 4,409.34 : x
  2. Step 2: Convert to fraction form
    6,504.54/8,977.59 = 4,409.34/x
  3. Step 3: Cross multiply
    6,504.54x = 8,977.59 × 4,409.34
  4. Step 4: Simplify right side
    6,504.54x = 39,585,246.69
  5. Step 5: Solve for x
    x = 39,585,246.69/6,504.54
  6. Step 6: Final answer
    x = 6,085.79

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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.