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Finding the Fourth Proportional to 10,016.65, 13,834.32 and 6,824.41

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Solution

The fourth proportional to 10,016.65, 13,834.32 and 6,824.41 is: 9,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.65 : 13,834.32 = 6,824.41 : x
  2. Step 2: Convert to fraction form
    10,016.65/13,834.32 = 6,824.41/x
  3. Step 3: Cross multiply
    10,016.65x = 13,834.32 × 6,824.41
  4. Step 4: Simplify right side
    10,016.65x = 94,411,062.76
  5. Step 5: Solve for x
    x = 94,411,062.76/10,016.65
  6. Step 6: Final answer
    x = 9,425.41

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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.