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Finding the Fourth Proportional to 10,775.64, 14,861.96 and 7,374.66

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Solution

The fourth proportional to 10,775.64, 14,861.96 and 7,374.66 is: 10,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.64 : 14,861.96 = 7,374.66 : x
  2. Step 2: Convert to fraction form
    10,775.64/14,861.96 = 7,374.66/x
  3. Step 3: Cross multiply
    10,775.64x = 14,861.96 × 7,374.66
  4. Step 4: Simplify right side
    10,775.64x = 109,601,865.06
  5. Step 5: Solve for x
    x = 109,601,865.06/10,775.64
  6. Step 6: Final answer
    x = 10,171.26

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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.