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Finding the Fourth Proportional to 7,809.89, 10,777.19 and 4,273.02

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Solution

The fourth proportional to 7,809.89, 10,777.19 and 4,273.02 is: 5,896.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.89 : 10,777.19 = 4,273.02 : x
  2. Step 2: Convert to fraction form
    7,809.89/10,777.19 = 4,273.02/x
  3. Step 3: Cross multiply
    7,809.89x = 10,777.19 × 4,273.02
  4. Step 4: Simplify right side
    7,809.89x = 46,051,127.05
  5. Step 5: Solve for x
    x = 46,051,127.05/7,809.89
  6. Step 6: Final answer
    x = 5,896.52

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Half scale
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Double 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.