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Finding the Fourth Proportional to 5,630.74, 7,770.27 and 3,078.40

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Solution

The fourth proportional to 5,630.74, 7,770.27 and 3,078.40 is: 4,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.74 : 7,770.27 = 3,078.40 : x
  2. Step 2: Convert to fraction form
    5,630.74/7,770.27 = 3,078.40/x
  3. Step 3: Cross multiply
    5,630.74x = 7,770.27 × 3,078.40
  4. Step 4: Simplify right side
    5,630.74x = 23,919,999.17
  5. Step 5: Solve for x
    x = 23,919,999.17/5,630.74
  6. Step 6: Final answer
    x = 4,248.11

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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.