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Finding the Fourth Proportional to 7,809.99, 10,778.05 and 4,273.20

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Solution

The fourth proportional to 7,809.99, 10,778.05 and 4,273.20 is: 5,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.99 : 10,778.05 = 4,273.20 : x
  2. Step 2: Convert to fraction form
    7,809.99/10,778.05 = 4,273.20/x
  3. Step 3: Cross multiply
    7,809.99x = 10,778.05 × 4,273.20
  4. Step 4: Simplify right side
    7,809.99x = 46,056,763.26
  5. Step 5: Solve for x
    x = 46,056,763.26/7,809.99
  6. Step 6: Final answer
    x = 5,897.16

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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.