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Finding the Fourth Proportional to 7,010.68, 9,674.72 and 3,823.96

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Solution

The fourth proportional to 7,010.68, 9,674.72 and 3,823.96 is: 5,277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.68 : 9,674.72 = 3,823.96 : x
  2. Step 2: Convert to fraction form
    7,010.68/9,674.72 = 3,823.96/x
  3. Step 3: Cross multiply
    7,010.68x = 9,674.72 × 3,823.96
  4. Step 4: Simplify right side
    7,010.68x = 36,995,742.29
  5. Step 5: Solve for x
    x = 36,995,742.29/7,010.68
  6. Step 6: Final answer
    x = 5,277.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.