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Finding the Fourth Proportional to 7,809, 10,777.70 and 4,498.92

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Solution

The fourth proportional to 7,809, 10,777.70 and 4,498.92 is: 6,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809 : 10,777.70 = 4,498.92 : x
  2. Step 2: Convert to fraction form
    7,809/10,777.70 = 4,498.92/x
  3. Step 3: Cross multiply
    7,809x = 10,777.70 × 4,498.92
  4. Step 4: Simplify right side
    7,809x = 48,488,010.08
  5. Step 5: Solve for x
    x = 48,488,010.08/7,809
  6. Step 6: Final answer
    x = 6,209.25

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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.