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Finding the Fourth Proportional to 13,497.84, 18,616.48 and 8,783.64

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Solution

The fourth proportional to 13,497.84, 18,616.48 and 8,783.64 is: 12,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.84 : 18,616.48 = 8,783.64 : x
  2. Step 2: Convert to fraction form
    13,497.84/18,616.48 = 8,783.64/x
  3. Step 3: Cross multiply
    13,497.84x = 18,616.48 × 8,783.64
  4. Step 4: Simplify right side
    13,497.84x = 163,520,458.39
  5. Step 5: Solve for x
    x = 163,520,458.39/13,497.84
  6. Step 6: Final answer
    x = 12,114.56

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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.