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Finding the Fourth Proportional to 13,632.64, 18,813.02 and 7,664.32

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Solution

The fourth proportional to 13,632.64, 18,813.02 and 7,664.32 is: 10,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632.64 : 18,813.02 = 7,664.32 : x
  2. Step 2: Convert to fraction form
    13,632.64/18,813.02 = 7,664.32/x
  3. Step 3: Cross multiply
    13,632.64x = 18,813.02 × 7,664.32
  4. Step 4: Simplify right side
    13,632.64x = 144,188,873.06
  5. Step 5: Solve for x
    x = 144,188,873.06/13,632.64
  6. Step 6: Final answer
    x = 10,576.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.