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Finding the Fourth Proportional to 10,564.49, 15,771.04 and 9,826.38

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Solution

The fourth proportional to 10,564.49, 15,771.04 and 9,826.38 is: 14,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.49 : 15,771.04 = 9,826.38 : x
  2. Step 2: Convert to fraction form
    10,564.49/15,771.04 = 9,826.38/x
  3. Step 3: Cross multiply
    10,564.49x = 15,771.04 × 9,826.38
  4. Step 4: Simplify right side
    10,564.49x = 154,972,207.47
  5. Step 5: Solve for x
    x = 154,972,207.47/10,564.49
  6. Step 6: Final answer
    x = 14,669.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.