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Finding the Fourth Proportional to 9,814.37, 14,776.80 and 8,651.84

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Solution

The fourth proportional to 9,814.37, 14,776.80 and 8,651.84 is: 13,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.37 : 14,776.80 = 8,651.84 : x
  2. Step 2: Convert to fraction form
    9,814.37/14,776.80 = 8,651.84/x
  3. Step 3: Cross multiply
    9,814.37x = 14,776.80 × 8,651.84
  4. Step 4: Simplify right side
    9,814.37x = 127,846,435.43
  5. Step 5: Solve for x
    x = 127,846,435.43/9,814.37
  6. Step 6: Final answer
    x = 13,026.46

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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.