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Finding the Fourth Proportional to 7,753.74, 11,630.25 and 3,854.94

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Solution

The fourth proportional to 7,753.74, 11,630.25 and 3,854.94 is: 5,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.74 : 11,630.25 = 3,854.94 : x
  2. Step 2: Convert to fraction form
    7,753.74/11,630.25 = 3,854.94/x
  3. Step 3: Cross multiply
    7,753.74x = 11,630.25 × 3,854.94
  4. Step 4: Simplify right side
    7,753.74x = 44,833,915.94
  5. Step 5: Solve for x
    x = 44,833,915.94/7,753.74
  6. Step 6: Final answer
    x = 5,782.23

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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.