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Finding the Fourth Proportional to 10,850.70, 14,973.75 and 6,374.10

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Solution

The fourth proportional to 10,850.70, 14,973.75 and 6,374.10 is: 8,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.70 : 14,973.75 = 6,374.10 : x
  2. Step 2: Convert to fraction form
    10,850.70/14,973.75 = 6,374.10/x
  3. Step 3: Cross multiply
    10,850.70x = 14,973.75 × 6,374.10
  4. Step 4: Simplify right side
    10,850.70x = 95,444,179.88
  5. Step 5: Solve for x
    x = 95,444,179.88/10,850.70
  6. Step 6: Final answer
    x = 8,796.13

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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.