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Finding the Fourth Proportional to 10,362, 14,299.92 and 5,885.92

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Solution

The fourth proportional to 10,362, 14,299.92 and 5,885.92 is: 8,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362 : 14,299.92 = 5,885.92 : x
  2. Step 2: Convert to fraction form
    10,362/14,299.92 = 5,885.92/x
  3. Step 3: Cross multiply
    10,362x = 14,299.92 × 5,885.92
  4. Step 4: Simplify right side
    10,362x = 84,168,185.13
  5. Step 5: Solve for x
    x = 84,168,185.13/10,362
  6. Step 6: Final answer
    x = 8,122.77

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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.