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Finding the Fourth Proportional to 10,495.17, 14,477.04 and 6,665.49

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Solution

The fourth proportional to 10,495.17, 14,477.04 and 6,665.49 is: 9,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.17 : 14,477.04 = 6,665.49 : x
  2. Step 2: Convert to fraction form
    10,495.17/14,477.04 = 6,665.49/x
  3. Step 3: Cross multiply
    10,495.17x = 14,477.04 × 6,665.49
  4. Step 4: Simplify right side
    10,495.17x = 96,496,565.35
  5. Step 5: Solve for x
    x = 96,496,565.35/10,495.17
  6. Step 6: Final answer
    x = 9,194.38

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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.