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Finding the Fourth Proportional to 6,162.09, 9,243.10 and 1,545.09

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Solution

The fourth proportional to 6,162.09, 9,243.10 and 1,545.09 is: 2,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.09 : 9,243.10 = 1,545.09 : x
  2. Step 2: Convert to fraction form
    6,162.09/9,243.10 = 1,545.09/x
  3. Step 3: Cross multiply
    6,162.09x = 9,243.10 × 1,545.09
  4. Step 4: Simplify right side
    6,162.09x = 14,281,421.38
  5. Step 5: Solve for x
    x = 14,281,421.38/6,162.09
  6. Step 6: Final answer
    x = 2,317.63

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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.