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Finding the Fourth Proportional to 10,632.84, 14,673.36 and 5,917.14

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Solution

The fourth proportional to 10,632.84, 14,673.36 and 5,917.14 is: 8,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.84 : 14,673.36 = 5,917.14 : x
  2. Step 2: Convert to fraction form
    10,632.84/14,673.36 = 5,917.14/x
  3. Step 3: Cross multiply
    10,632.84x = 14,673.36 × 5,917.14
  4. Step 4: Simplify right side
    10,632.84x = 86,824,325.39
  5. Step 5: Solve for x
    x = 86,824,325.39/10,632.84
  6. Step 6: Final answer
    x = 8,165.68

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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.