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Finding the Fourth Proportional to 10,675.16, 14,728.38 and 6,900.40

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Solution

The fourth proportional to 10,675.16, 14,728.38 and 6,900.40 is: 9,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.16 : 14,728.38 = 6,900.40 : x
  2. Step 2: Convert to fraction form
    10,675.16/14,728.38 = 6,900.40/x
  3. Step 3: Cross multiply
    10,675.16x = 14,728.38 × 6,900.40
  4. Step 4: Simplify right side
    10,675.16x = 101,631,713.35
  5. Step 5: Solve for x
    x = 101,631,713.35/10,675.16
  6. Step 6: Final answer
    x = 9,520.39

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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.