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Finding the Fourth Proportional to 7,583.84, 11,383.12 and 4,667.84

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Solution

The fourth proportional to 7,583.84, 11,383.12 and 4,667.84 is: 7,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.84 : 11,383.12 = 4,667.84 : x
  2. Step 2: Convert to fraction form
    7,583.84/11,383.12 = 4,667.84/x
  3. Step 3: Cross multiply
    7,583.84x = 11,383.12 × 4,667.84
  4. Step 4: Simplify right side
    7,583.84x = 53,134,582.86
  5. Step 5: Solve for x
    x = 53,134,582.86/7,583.84
  6. Step 6: Final answer
    x = 7,006.29

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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.