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Finding the Fourth Proportional to 7,773.69, 10,657.68 and 7,633.80

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Solution

The fourth proportional to 7,773.69, 10,657.68 and 7,633.80 is: 10,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.69 : 10,657.68 = 7,633.80 : x
  2. Step 2: Convert to fraction form
    7,773.69/10,657.68 = 7,633.80/x
  3. Step 3: Cross multiply
    7,773.69x = 10,657.68 × 7,633.80
  4. Step 4: Simplify right side
    7,773.69x = 81,358,597.58
  5. Step 5: Solve for x
    x = 81,358,597.58/7,773.69
  6. Step 6: Final answer
    x = 10,465.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.