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Finding the Fourth Proportional to 7,078.47, 9,770.58 and 6,331.11

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Solution

The fourth proportional to 7,078.47, 9,770.58 and 6,331.11 is: 8,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.47 : 9,770.58 = 6,331.11 : x
  2. Step 2: Convert to fraction form
    7,078.47/9,770.58 = 6,331.11/x
  3. Step 3: Cross multiply
    7,078.47x = 9,770.58 × 6,331.11
  4. Step 4: Simplify right side
    7,078.47x = 61,858,616.74
  5. Step 5: Solve for x
    x = 61,858,616.74/7,078.47
  6. Step 6: Final answer
    x = 8,738.98

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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.