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Finding the Fourth Proportional to 6,950.76, 10,426.20 and 1,756.63

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Solution

The fourth proportional to 6,950.76, 10,426.20 and 1,756.63 is: 2,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.76 : 10,426.20 = 1,756.63 : x
  2. Step 2: Convert to fraction form
    6,950.76/10,426.20 = 1,756.63/x
  3. Step 3: Cross multiply
    6,950.76x = 10,426.20 × 1,756.63
  4. Step 4: Simplify right side
    6,950.76x = 18,314,975.71
  5. Step 5: Solve for x
    x = 18,314,975.71/6,950.76
  6. Step 6: Final answer
    x = 2,634.96

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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.