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Finding the Fourth Proportional to 6,934.66, 10,401.68 and 1,937.06

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Solution

The fourth proportional to 6,934.66, 10,401.68 and 1,937.06 is: 2,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.66 : 10,401.68 = 1,937.06 : x
  2. Step 2: Convert to fraction form
    6,934.66/10,401.68 = 1,937.06/x
  3. Step 3: Cross multiply
    6,934.66x = 10,401.68 × 1,937.06
  4. Step 4: Simplify right side
    6,934.66x = 20,148,668.58
  5. Step 5: Solve for x
    x = 20,148,668.58/6,934.66
  6. Step 6: Final answer
    x = 2,905.50

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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.