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Finding the Fourth Proportional to 8,494.48, 12,741.76 and 3,569.68

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Solution

The fourth proportional to 8,494.48, 12,741.76 and 3,569.68 is: 5,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.48 : 12,741.76 = 3,569.68 : x
  2. Step 2: Convert to fraction form
    8,494.48/12,741.76 = 3,569.68/x
  3. Step 3: Cross multiply
    8,494.48x = 12,741.76 × 3,569.68
  4. Step 4: Simplify right side
    8,494.48x = 45,484,005.84
  5. Step 5: Solve for x
    x = 45,484,005.84/8,494.48
  6. Step 6: Final answer
    x = 5,354.54

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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.