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Finding the Fourth Proportional to 11,574.67, 15,973.05 and 6,269.50

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Solution

The fourth proportional to 11,574.67, 15,973.05 and 6,269.50 is: 8,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.67 : 15,973.05 = 6,269.50 : x
  2. Step 2: Convert to fraction form
    11,574.67/15,973.05 = 6,269.50/x
  3. Step 3: Cross multiply
    11,574.67x = 15,973.05 × 6,269.50
  4. Step 4: Simplify right side
    11,574.67x = 100,143,036.98
  5. Step 5: Solve for x
    x = 100,143,036.98/11,574.67
  6. Step 6: Final answer
    x = 8,651.91

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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.