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Finding the Fourth Proportional to 6,574.86, 9,862.43 and 2,412.63

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Solution

The fourth proportional to 6,574.86, 9,862.43 and 2,412.63 is: 3,618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.86 : 9,862.43 = 2,412.63 : x
  2. Step 2: Convert to fraction form
    6,574.86/9,862.43 = 2,412.63/x
  3. Step 3: Cross multiply
    6,574.86x = 9,862.43 × 2,412.63
  4. Step 4: Simplify right side
    6,574.86x = 23,794,382.43
  5. Step 5: Solve for x
    x = 23,794,382.43/6,574.86
  6. Step 6: Final answer
    x = 3,618.99

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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.