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Finding the Fourth Proportional to 10,056.64, 13,879.02 and 5,581.84

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Solution

The fourth proportional to 10,056.64, 13,879.02 and 5,581.84 is: 7,703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.64 : 13,879.02 = 5,581.84 : x
  2. Step 2: Convert to fraction form
    10,056.64/13,879.02 = 5,581.84/x
  3. Step 3: Cross multiply
    10,056.64x = 13,879.02 × 5,581.84
  4. Step 4: Simplify right side
    10,056.64x = 77,470,469.00
  5. Step 5: Solve for x
    x = 77,470,469.00/10,056.64
  6. Step 6: Final answer
    x = 7,703.41

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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.