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Finding the Fourth Proportional to 10,712.40, 14,783.04 and 5,996.40

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Solution

The fourth proportional to 10,712.40, 14,783.04 and 5,996.40 is: 8,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.40 : 14,783.04 = 5,996.40 : x
  2. Step 2: Convert to fraction form
    10,712.40/14,783.04 = 5,996.40/x
  3. Step 3: Cross multiply
    10,712.40x = 14,783.04 × 5,996.40
  4. Step 4: Simplify right side
    10,712.40x = 88,645,021.06
  5. Step 5: Solve for x
    x = 88,645,021.06/10,712.40
  6. Step 6: Final answer
    x = 8,274.99

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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.