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Finding the Fourth Proportional to 6,668.52, 10,002.78 and 1,738.15

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Solution

The fourth proportional to 6,668.52, 10,002.78 and 1,738.15 is: 2,607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.52 : 10,002.78 = 1,738.15 : x
  2. Step 2: Convert to fraction form
    6,668.52/10,002.78 = 1,738.15/x
  3. Step 3: Cross multiply
    6,668.52x = 10,002.78 × 1,738.15
  4. Step 4: Simplify right side
    6,668.52x = 17,386,332.06
  5. Step 5: Solve for x
    x = 17,386,332.06/6,668.52
  6. Step 6: Final answer
    x = 2,607.23

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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.