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Finding the Fourth Proportional to 9,653.36, 14,464.14 and 8,846.36

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Solution

The fourth proportional to 9,653.36, 14,464.14 and 8,846.36 is: 13,254.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.36 : 14,464.14 = 8,846.36 : x
  2. Step 2: Convert to fraction form
    9,653.36/14,464.14 = 8,846.36/x
  3. Step 3: Cross multiply
    9,653.36x = 14,464.14 × 8,846.36
  4. Step 4: Simplify right side
    9,653.36x = 127,954,989.53
  5. Step 5: Solve for x
    x = 127,954,989.53/9,653.36
  6. Step 6: Final answer
    x = 13,254.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.