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Finding the Fourth Proportional to 5,948.84, 8,212.76 and 4,063.16

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Solution

The fourth proportional to 5,948.84, 8,212.76 and 4,063.16 is: 5,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.84 : 8,212.76 = 4,063.16 : x
  2. Step 2: Convert to fraction form
    5,948.84/8,212.76 = 4,063.16/x
  3. Step 3: Cross multiply
    5,948.84x = 8,212.76 × 4,063.16
  4. Step 4: Simplify right side
    5,948.84x = 33,369,773.37
  5. Step 5: Solve for x
    x = 33,369,773.37/5,948.84
  6. Step 6: Final answer
    x = 5,609.46

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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.