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Finding the Fourth Proportional to 5,669.84, 8,506.12 and 5,575.69

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Solution

The fourth proportional to 5,669.84, 8,506.12 and 5,575.69 is: 8,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.84 : 8,506.12 = 5,575.69 : x
  2. Step 2: Convert to fraction form
    5,669.84/8,506.12 = 5,575.69/x
  3. Step 3: Cross multiply
    5,669.84x = 8,506.12 × 5,575.69
  4. Step 4: Simplify right side
    5,669.84x = 47,427,511.05
  5. Step 5: Solve for x
    x = 47,427,511.05/5,669.84
  6. Step 6: Final answer
    x = 8,364.88

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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.