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Finding the Fourth Proportional to 7,809.93, 10,777.97 and 4,453.24

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Solution

The fourth proportional to 7,809.93, 10,777.97 and 4,453.24 is: 6,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.93 : 10,777.97 = 4,453.24 : x
  2. Step 2: Convert to fraction form
    7,809.93/10,777.97 = 4,453.24/x
  3. Step 3: Cross multiply
    7,809.93x = 10,777.97 × 4,453.24
  4. Step 4: Simplify right side
    7,809.93x = 47,996,887.12
  5. Step 5: Solve for x
    x = 47,996,887.12/7,809.93
  6. Step 6: Final answer
    x = 6,145.62

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Half scale
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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.