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Finding the Fourth Proportional to 11,861.02, 16,366.53 and 6,823.32

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Solution

The fourth proportional to 11,861.02, 16,366.53 and 6,823.32 is: 9,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.02 : 16,366.53 = 6,823.32 : x
  2. Step 2: Convert to fraction form
    11,861.02/16,366.53 = 6,823.32/x
  3. Step 3: Cross multiply
    11,861.02x = 16,366.53 × 6,823.32
  4. Step 4: Simplify right side
    11,861.02x = 111,674,071.48
  5. Step 5: Solve for x
    x = 111,674,071.48/11,861.02
  6. Step 6: Final answer
    x = 9,415.22

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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.