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Finding the Fourth Proportional to 7,109.55, 9,809.19 and 4,591.77

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Solution

The fourth proportional to 7,109.55, 9,809.19 and 4,591.77 is: 6,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.55 : 9,809.19 = 4,591.77 : x
  2. Step 2: Convert to fraction form
    7,109.55/9,809.19 = 4,591.77/x
  3. Step 3: Cross multiply
    7,109.55x = 9,809.19 × 4,591.77
  4. Step 4: Simplify right side
    7,109.55x = 45,041,544.37
  5. Step 5: Solve for x
    x = 45,041,544.37/7,109.55
  6. Step 6: Final answer
    x = 6,335.36

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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.