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Finding the Fourth Proportional to 10,457, 15,692.06 and 6,076.52

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Solution

The fourth proportional to 10,457, 15,692.06 and 6,076.52 is: 9,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457 : 15,692.06 = 6,076.52 : x
  2. Step 2: Convert to fraction form
    10,457/15,692.06 = 6,076.52/x
  3. Step 3: Cross multiply
    10,457x = 15,692.06 × 6,076.52
  4. Step 4: Simplify right side
    10,457x = 95,353,116.43
  5. Step 5: Solve for x
    x = 95,353,116.43/10,457
  6. Step 6: Final answer
    x = 9,118.59

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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.