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Finding the Fourth Proportional to 14,200.31, 19,596.84 and 7,913.09

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Solution

The fourth proportional to 14,200.31, 19,596.84 and 7,913.09 is: 10,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.31 : 19,596.84 = 7,913.09 : x
  2. Step 2: Convert to fraction form
    14,200.31/19,596.84 = 7,913.09/x
  3. Step 3: Cross multiply
    14,200.31x = 19,596.84 × 7,913.09
  4. Step 4: Simplify right side
    14,200.31x = 155,071,577.95
  5. Step 5: Solve for x
    x = 155,071,577.95/14,200.31
  6. Step 6: Final answer
    x = 10,920.29

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1.5x scale

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.