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Finding the Fourth Proportional to 9,793.64, 14,763.84 and 9,141.90

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Solution

The fourth proportional to 9,793.64, 14,763.84 and 9,141.90 is: 13,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.64 : 14,763.84 = 9,141.90 : x
  2. Step 2: Convert to fraction form
    9,793.64/14,763.84 = 9,141.90/x
  3. Step 3: Cross multiply
    9,793.64x = 14,763.84 × 9,141.90
  4. Step 4: Simplify right side
    9,793.64x = 134,969,548.90
  5. Step 5: Solve for x
    x = 134,969,548.90/9,793.64
  6. Step 6: Final answer
    x = 13,781.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.