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Finding the Fourth Proportional to 10,695.32, 14,758.94 and 5,914.99

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Solution

The fourth proportional to 10,695.32, 14,758.94 and 5,914.99 is: 8,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.32 : 14,758.94 = 5,914.99 : x
  2. Step 2: Convert to fraction form
    10,695.32/14,758.94 = 5,914.99/x
  3. Step 3: Cross multiply
    10,695.32x = 14,758.94 × 5,914.99
  4. Step 4: Simplify right side
    10,695.32x = 87,299,015.75
  5. Step 5: Solve for x
    x = 87,299,015.75/10,695.32
  6. Step 6: Final answer
    x = 8,162.36

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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.