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Finding the Fourth Proportional to 9,513.74, 14,271.42 and 2,493.74

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Solution

The fourth proportional to 9,513.74, 14,271.42 and 2,493.74 is: 3,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.74 : 14,271.42 = 2,493.74 : x
  2. Step 2: Convert to fraction form
    9,513.74/14,271.42 = 2,493.74/x
  3. Step 3: Cross multiply
    9,513.74x = 14,271.42 × 2,493.74
  4. Step 4: Simplify right side
    9,513.74x = 35,589,210.91
  5. Step 5: Solve for x
    x = 35,589,210.91/9,513.74
  6. Step 6: Final answer
    x = 3,740.82

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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.