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Finding the Fourth Proportional to 4,338.66, 6,509.81 and 2,259.19

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Solution

The fourth proportional to 4,338.66, 6,509.81 and 2,259.19 is: 3,389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.66 : 6,509.81 = 2,259.19 : x
  2. Step 2: Convert to fraction form
    4,338.66/6,509.81 = 2,259.19/x
  3. Step 3: Cross multiply
    4,338.66x = 6,509.81 × 2,259.19
  4. Step 4: Simplify right side
    4,338.66x = 14,706,897.65
  5. Step 5: Solve for x
    x = 14,706,897.65/4,338.66
  6. Step 6: Final answer
    x = 3,389.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.