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Finding the Fourth Proportional to 9,782.30, 13,734.10 and 9,782.30

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Solution

The fourth proportional to 9,782.30, 13,734.10 and 9,782.30 is: 13,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.30 : 13,734.10 = 9,782.30 : x
  2. Step 2: Convert to fraction form
    9,782.30/13,734.10 = 9,782.30/x
  3. Step 3: Cross multiply
    9,782.30x = 13,734.10 × 9,782.30
  4. Step 4: Simplify right side
    9,782.30x = 134,351,086.43
  5. Step 5: Solve for x
    x = 134,351,086.43/9,782.30
  6. Step 6: Final answer
    x = 13,734.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.