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Finding the Fourth Proportional to 10,588.50, 15,885.02 and 4,014.73

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Solution

The fourth proportional to 10,588.50, 15,885.02 and 4,014.73 is: 6,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.50 : 15,885.02 = 4,014.73 : x
  2. Step 2: Convert to fraction form
    10,588.50/15,885.02 = 4,014.73/x
  3. Step 3: Cross multiply
    10,588.50x = 15,885.02 × 4,014.73
  4. Step 4: Simplify right side
    10,588.50x = 63,774,066.34
  5. Step 5: Solve for x
    x = 63,774,066.34/10,588.50
  6. Step 6: Final answer
    x = 6,022.96

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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.