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Finding the Fourth Proportional to 7,772.74, 11,630.40 and 4,654.95

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Solution

The fourth proportional to 7,772.74, 11,630.40 and 4,654.95 is: 6,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.74 : 11,630.40 = 4,654.95 : x
  2. Step 2: Convert to fraction form
    7,772.74/11,630.40 = 4,654.95/x
  3. Step 3: Cross multiply
    7,772.74x = 11,630.40 × 4,654.95
  4. Step 4: Simplify right side
    7,772.74x = 54,138,930.48
  5. Step 5: Solve for x
    x = 54,138,930.48/7,772.74
  6. Step 6: Final answer
    x = 6,965.23

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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.