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Finding the Fourth Proportional to 10,667.84, 15,977.44 and 7,365.92

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Solution

The fourth proportional to 10,667.84, 15,977.44 and 7,365.92 is: 11,032.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.84 : 15,977.44 = 7,365.92 : x
  2. Step 2: Convert to fraction form
    10,667.84/15,977.44 = 7,365.92/x
  3. Step 3: Cross multiply
    10,667.84x = 15,977.44 × 7,365.92
  4. Step 4: Simplify right side
    10,667.84x = 117,688,544.84
  5. Step 5: Solve for x
    x = 117,688,544.84/10,667.84
  6. Step 6: Final answer
    x = 11,032.09

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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.