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Finding the Fourth Proportional to 11,770.58, 16,244.74 and 6,465.88

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Solution

The fourth proportional to 11,770.58, 16,244.74 and 6,465.88 is: 8,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.58 : 16,244.74 = 6,465.88 : x
  2. Step 2: Convert to fraction form
    11,770.58/16,244.74 = 6,465.88/x
  3. Step 3: Cross multiply
    11,770.58x = 16,244.74 × 6,465.88
  4. Step 4: Simplify right side
    11,770.58x = 105,036,539.47
  5. Step 5: Solve for x
    x = 105,036,539.47/11,770.58
  6. Step 6: Final answer
    x = 8,923.65

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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.