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Finding the Fourth Proportional to 10,365.82, 14,310.68 and 6,835.19

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Solution

The fourth proportional to 10,365.82, 14,310.68 and 6,835.19 is: 9,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.82 : 14,310.68 = 6,835.19 : x
  2. Step 2: Convert to fraction form
    10,365.82/14,310.68 = 6,835.19/x
  3. Step 3: Cross multiply
    10,365.82x = 14,310.68 × 6,835.19
  4. Step 4: Simplify right side
    10,365.82x = 97,816,111.10
  5. Step 5: Solve for x
    x = 97,816,111.10/10,365.82
  6. Step 6: Final answer
    x = 9,436.41

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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.