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Finding the Fourth Proportional to 11,770.57, 16,244.82 and 6,802.57

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Solution

The fourth proportional to 11,770.57, 16,244.82 and 6,802.57 is: 9,388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.57 : 16,244.82 = 6,802.57 : x
  2. Step 2: Convert to fraction form
    11,770.57/16,244.82 = 6,802.57/x
  3. Step 3: Cross multiply
    11,770.57x = 16,244.82 × 6,802.57
  4. Step 4: Simplify right side
    11,770.57x = 110,506,409.95
  5. Step 5: Solve for x
    x = 110,506,409.95/11,770.57
  6. Step 6: Final answer
    x = 9,388.37

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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.