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Finding the Fourth Proportional to 11,249, 15,524.58 and 6,281.96

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Solution

The fourth proportional to 11,249, 15,524.58 and 6,281.96 is: 8,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249 : 15,524.58 = 6,281.96 : x
  2. Step 2: Convert to fraction form
    11,249/15,524.58 = 6,281.96/x
  3. Step 3: Cross multiply
    11,249x = 15,524.58 × 6,281.96
  4. Step 4: Simplify right side
    11,249x = 97,524,790.58
  5. Step 5: Solve for x
    x = 97,524,790.58/11,249
  6. Step 6: Final answer
    x = 8,669.64

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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.