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Finding the Fourth Proportional to 11,861.64, 17,802.72 and 6,319.08

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Solution

The fourth proportional to 11,861.64, 17,802.72 and 6,319.08 is: 9,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.64 : 17,802.72 = 6,319.08 : x
  2. Step 2: Convert to fraction form
    11,861.64/17,802.72 = 6,319.08/x
  3. Step 3: Cross multiply
    11,861.64x = 17,802.72 × 6,319.08
  4. Step 4: Simplify right side
    11,861.64x = 112,496,811.90
  5. Step 5: Solve for x
    x = 112,496,811.90/11,861.64
  6. Step 6: Final answer
    x = 9,484.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.