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Finding the Fourth Proportional to 10,437, 14,410.62 and 6,717.48

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Solution

The fourth proportional to 10,437, 14,410.62 and 6,717.48 is: 9,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437 : 14,410.62 = 6,717.48 : x
  2. Step 2: Convert to fraction form
    10,437/14,410.62 = 6,717.48/x
  3. Step 3: Cross multiply
    10,437x = 14,410.62 × 6,717.48
  4. Step 4: Simplify right side
    10,437x = 96,803,051.64
  5. Step 5: Solve for x
    x = 96,803,051.64/10,437
  6. Step 6: Final answer
    x = 9,274.99

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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.