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Finding the Fourth Proportional to 10,191, 14,063.64 and 6,001.68

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Solution

The fourth proportional to 10,191, 14,063.64 and 6,001.68 is: 8,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191 : 14,063.64 = 6,001.68 : x
  2. Step 2: Convert to fraction form
    10,191/14,063.64 = 6,001.68/x
  3. Step 3: Cross multiply
    10,191x = 14,063.64 × 6,001.68
  4. Step 4: Simplify right side
    10,191x = 84,405,466.92
  5. Step 5: Solve for x
    x = 84,405,466.92/10,191
  6. Step 6: Final answer
    x = 8,282.35

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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.