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Finding the Fourth Proportional to 10,394.33, 14,344.49 and 5,678.51

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Solution

The fourth proportional to 10,394.33, 14,344.49 and 5,678.51 is: 7,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.33 : 14,344.49 = 5,678.51 : x
  2. Step 2: Convert to fraction form
    10,394.33/14,344.49 = 5,678.51/x
  3. Step 3: Cross multiply
    10,394.33x = 14,344.49 × 5,678.51
  4. Step 4: Simplify right side
    10,394.33x = 81,455,272.38
  5. Step 5: Solve for x
    x = 81,455,272.38/10,394.33
  6. Step 6: Final answer
    x = 7,836.51

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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.