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Finding the Fourth Proportional to 9,784.51, 13,596.29 and 9,682.90

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Solution

The fourth proportional to 9,784.51, 13,596.29 and 9,682.90 is: 13,455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.51 : 13,596.29 = 9,682.90 : x
  2. Step 2: Convert to fraction form
    9,784.51/13,596.29 = 9,682.90/x
  3. Step 3: Cross multiply
    9,784.51x = 13,596.29 × 9,682.90
  4. Step 4: Simplify right side
    9,784.51x = 131,651,546.83
  5. Step 5: Solve for x
    x = 131,651,546.83/9,784.51
  6. Step 6: Final answer
    x = 13,455.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.