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Finding the Fourth Proportional to 5,766.16, 7,933.80 and 5,635.12

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Solution

The fourth proportional to 5,766.16, 7,933.80 and 5,635.12 is: 7,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.16 : 7,933.80 = 5,635.12 : x
  2. Step 2: Convert to fraction form
    5,766.16/7,933.80 = 5,635.12/x
  3. Step 3: Cross multiply
    5,766.16x = 7,933.80 × 5,635.12
  4. Step 4: Simplify right side
    5,766.16x = 44,707,915.06
  5. Step 5: Solve for x
    x = 44,707,915.06/5,766.16
  6. Step 6: Final answer
    x = 7,753.50

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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.