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Finding the Fourth Proportional to 4,668.52, 7,002.92 and 1,746.28

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Solution

The fourth proportional to 4,668.52, 7,002.92 and 1,746.28 is: 2,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.52 : 7,002.92 = 1,746.28 : x
  2. Step 2: Convert to fraction form
    4,668.52/7,002.92 = 1,746.28/x
  3. Step 3: Cross multiply
    4,668.52x = 7,002.92 × 1,746.28
  4. Step 4: Simplify right side
    4,668.52x = 12,229,059.14
  5. Step 5: Solve for x
    x = 12,229,059.14/4,668.52
  6. Step 6: Final answer
    x = 2,619.47

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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.