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Finding the Fourth Proportional to 11,616.46, 17,402.01 and 9,281.32

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Solution

The fourth proportional to 11,616.46, 17,402.01 and 9,281.32 is: 13,903.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.46 : 17,402.01 = 9,281.32 : x
  2. Step 2: Convert to fraction form
    11,616.46/17,402.01 = 9,281.32/x
  3. Step 3: Cross multiply
    11,616.46x = 17,402.01 × 9,281.32
  4. Step 4: Simplify right side
    11,616.46x = 161,513,623.45
  5. Step 5: Solve for x
    x = 161,513,623.45/11,616.46
  6. Step 6: Final answer
    x = 13,903.86

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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.