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Finding the Fourth Proportional to 7,809.99, 10,783.13 and 5,793.93

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Solution

The fourth proportional to 7,809.99, 10,783.13 and 5,793.93 is: 7,999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.99 : 10,783.13 = 5,793.93 : x
  2. Step 2: Convert to fraction form
    7,809.99/10,783.13 = 5,793.93/x
  3. Step 3: Cross multiply
    7,809.99x = 10,783.13 × 5,793.93
  4. Step 4: Simplify right side
    7,809.99x = 62,476,671.43
  5. Step 5: Solve for x
    x = 62,476,671.43/7,809.99
  6. Step 6: Final answer
    x = 7,999.58

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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.