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Finding the Fourth Proportional to 10,465, 14,444.94 and 6,739

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Solution

The fourth proportional to 10,465, 14,444.94 and 6,739 is: 9,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465 : 14,444.94 = 6,739 : x
  2. Step 2: Convert to fraction form
    10,465/14,444.94 = 6,739/x
  3. Step 3: Cross multiply
    10,465x = 14,444.94 × 6,739
  4. Step 4: Simplify right side
    10,465x = 97,344,450.66
  5. Step 5: Solve for x
    x = 97,344,450.66/10,465
  6. Step 6: Final answer
    x = 9,301.91

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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.