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Finding the Fourth Proportional to 7,673.84, 11,508.32 and 2,478.48

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Solution

The fourth proportional to 7,673.84, 11,508.32 and 2,478.48 is: 3,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.84 : 11,508.32 = 2,478.48 : x
  2. Step 2: Convert to fraction form
    7,673.84/11,508.32 = 2,478.48/x
  3. Step 3: Cross multiply
    7,673.84x = 11,508.32 × 2,478.48
  4. Step 4: Simplify right side
    7,673.84x = 28,523,140.95
  5. Step 5: Solve for x
    x = 28,523,140.95/7,673.84
  6. Step 6: Final answer
    x = 3,716.93

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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.