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Finding the Fourth Proportional to 10,402.97, 14,354.54 and 5,865.46

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Solution

The fourth proportional to 10,402.97, 14,354.54 and 5,865.46 is: 8,093.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.97 : 14,354.54 = 5,865.46 : x
  2. Step 2: Convert to fraction form
    10,402.97/14,354.54 = 5,865.46/x
  3. Step 3: Cross multiply
    10,402.97x = 14,354.54 × 5,865.46
  4. Step 4: Simplify right side
    10,402.97x = 84,195,914.97
  5. Step 5: Solve for x
    x = 84,195,914.97/10,402.97
  6. Step 6: Final answer
    x = 8,093.45

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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.