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Finding the Fourth Proportional to 10,833.71, 14,956.97 and 6,858.23

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Solution

The fourth proportional to 10,833.71, 14,956.97 and 6,858.23 is: 9,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.71 : 14,956.97 = 6,858.23 : x
  2. Step 2: Convert to fraction form
    10,833.71/14,956.97 = 6,858.23/x
  3. Step 3: Cross multiply
    10,833.71x = 14,956.97 × 6,858.23
  4. Step 4: Simplify right side
    10,833.71x = 102,578,306.07
  5. Step 5: Solve for x
    x = 102,578,306.07/10,833.71
  6. Step 6: Final answer
    x = 9,468.44

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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.