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Finding the Fourth Proportional to 10,771.83, 14,865.06 and 6,056.13

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Solution

The fourth proportional to 10,771.83, 14,865.06 and 6,056.13 is: 8,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.83 : 14,865.06 = 6,056.13 : x
  2. Step 2: Convert to fraction form
    10,771.83/14,865.06 = 6,056.13/x
  3. Step 3: Cross multiply
    10,771.83x = 14,865.06 × 6,056.13
  4. Step 4: Simplify right side
    10,771.83x = 90,024,735.82
  5. Step 5: Solve for x
    x = 90,024,735.82/10,771.83
  6. Step 6: Final answer
    x = 8,357.42

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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.