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Finding the Fourth Proportional to 7,770.58, 11,658.25 and 4,654.10

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Solution

The fourth proportional to 7,770.58, 11,658.25 and 4,654.10 is: 6,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.58 : 11,658.25 = 4,654.10 : x
  2. Step 2: Convert to fraction form
    7,770.58/11,658.25 = 4,654.10/x
  3. Step 3: Cross multiply
    7,770.58x = 11,658.25 × 4,654.10
  4. Step 4: Simplify right side
    7,770.58x = 54,258,661.33
  5. Step 5: Solve for x
    x = 54,258,661.33/7,770.58
  6. Step 6: Final answer
    x = 6,982.58

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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.