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Finding the Fourth Proportional to 6,954.68, 10,431.84 and 2,337.68

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Solution

The fourth proportional to 6,954.68, 10,431.84 and 2,337.68 is: 3,506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.68 : 10,431.84 = 2,337.68 : x
  2. Step 2: Convert to fraction form
    6,954.68/10,431.84 = 2,337.68/x
  3. Step 3: Cross multiply
    6,954.68x = 10,431.84 × 2,337.68
  4. Step 4: Simplify right side
    6,954.68x = 24,386,303.73
  5. Step 5: Solve for x
    x = 24,386,303.73/6,954.68
  6. Step 6: Final answer
    x = 3,506.46

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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.