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Finding the Fourth Proportional to 12,333.68, 17,020.14 and 6,744.68

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Solution

The fourth proportional to 12,333.68, 17,020.14 and 6,744.68 is: 9,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,333.68 : 17,020.14 = 6,744.68 : x
  2. Step 2: Convert to fraction form
    12,333.68/17,020.14 = 6,744.68/x
  3. Step 3: Cross multiply
    12,333.68x = 17,020.14 × 6,744.68
  4. Step 4: Simplify right side
    12,333.68x = 114,795,397.86
  5. Step 5: Solve for x
    x = 114,795,397.86/12,333.68
  6. Step 6: Final answer
    x = 9,307.47

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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.