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Finding the Fourth Proportional to 9,965, 13,751.70 and 5,775.68

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Solution

The fourth proportional to 9,965, 13,751.70 and 5,775.68 is: 7,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965 : 13,751.70 = 5,775.68 : x
  2. Step 2: Convert to fraction form
    9,965/13,751.70 = 5,775.68/x
  3. Step 3: Cross multiply
    9,965x = 13,751.70 × 5,775.68
  4. Step 4: Simplify right side
    9,965x = 79,425,418.66
  5. Step 5: Solve for x
    x = 79,425,418.66/9,965
  6. Step 6: Final answer
    x = 7,970.44

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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.