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Finding the Fourth Proportional to 10,187.74, 14,051.10 and 6,829.48

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Solution

The fourth proportional to 10,187.74, 14,051.10 and 6,829.48 is: 9,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187.74 : 14,051.10 = 6,829.48 : x
  2. Step 2: Convert to fraction form
    10,187.74/14,051.10 = 6,829.48/x
  3. Step 3: Cross multiply
    10,187.74x = 14,051.10 × 6,829.48
  4. Step 4: Simplify right side
    10,187.74x = 95,961,706.43
  5. Step 5: Solve for x
    x = 95,961,706.43/10,187.74
  6. Step 6: Final answer
    x = 9,419.33

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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.