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Finding the Fourth Proportional to 10,598.36, 14,630.76 and 6,625.31

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Solution

The fourth proportional to 10,598.36, 14,630.76 and 6,625.31 is: 9,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.36 : 14,630.76 = 6,625.31 : x
  2. Step 2: Convert to fraction form
    10,598.36/14,630.76 = 6,625.31/x
  3. Step 3: Cross multiply
    10,598.36x = 14,630.76 × 6,625.31
  4. Step 4: Simplify right side
    10,598.36x = 96,933,247.38
  5. Step 5: Solve for x
    x = 96,933,247.38/10,598.36
  6. Step 6: Final answer
    x = 9,146.07

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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.