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Finding the Fourth Proportional to 6,154.65, 9,230.99 and 1,771.11

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Solution

The fourth proportional to 6,154.65, 9,230.99 and 1,771.11 is: 2,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.65 : 9,230.99 = 1,771.11 : x
  2. Step 2: Convert to fraction form
    6,154.65/9,230.99 = 1,771.11/x
  3. Step 3: Cross multiply
    6,154.65x = 9,230.99 × 1,771.11
  4. Step 4: Simplify right side
    6,154.65x = 16,349,089.84
  5. Step 5: Solve for x
    x = 16,349,089.84/6,154.65
  6. Step 6: Final answer
    x = 2,656.38

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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.