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Finding the Fourth Proportional to 11,463.34, 15,845.89 and 9,563.84

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Solution

The fourth proportional to 11,463.34, 15,845.89 and 9,563.84 is: 13,220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.34 : 15,845.89 = 9,563.84 : x
  2. Step 2: Convert to fraction form
    11,463.34/15,845.89 = 9,563.84/x
  3. Step 3: Cross multiply
    11,463.34x = 15,845.89 × 9,563.84
  4. Step 4: Simplify right side
    11,463.34x = 151,547,556.62
  5. Step 5: Solve for x
    x = 151,547,556.62/11,463.34
  6. Step 6: Final answer
    x = 13,220.19

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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.