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Finding the Fourth Proportional to 4,707.54, 7,059.06 and 1,743.95

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Solution

The fourth proportional to 4,707.54, 7,059.06 and 1,743.95 is: 2,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.54 : 7,059.06 = 1,743.95 : x
  2. Step 2: Convert to fraction form
    4,707.54/7,059.06 = 1,743.95/x
  3. Step 3: Cross multiply
    4,707.54x = 7,059.06 × 1,743.95
  4. Step 4: Simplify right side
    4,707.54x = 12,310,647.69
  5. Step 5: Solve for x
    x = 12,310,647.69/4,707.54
  6. Step 6: Final answer
    x = 2,615.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.