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Finding the Fourth Proportional to 10,027.16, 13,841.12 and 5,835.40

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Solution

The fourth proportional to 10,027.16, 13,841.12 and 5,835.40 is: 8,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.16 : 13,841.12 = 5,835.40 : x
  2. Step 2: Convert to fraction form
    10,027.16/13,841.12 = 5,835.40/x
  3. Step 3: Cross multiply
    10,027.16x = 13,841.12 × 5,835.40
  4. Step 4: Simplify right side
    10,027.16x = 80,768,471.65
  5. Step 5: Solve for x
    x = 80,768,471.65/10,027.16
  6. Step 6: Final answer
    x = 8,054.97

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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.