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Finding the Fourth Proportional to 10,484.56, 15,692.82 and 7,710.58

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Solution

The fourth proportional to 10,484.56, 15,692.82 and 7,710.58 is: 11,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.56 : 15,692.82 = 7,710.58 : x
  2. Step 2: Convert to fraction form
    10,484.56/15,692.82 = 7,710.58/x
  3. Step 3: Cross multiply
    10,484.56x = 15,692.82 × 7,710.58
  4. Step 4: Simplify right side
    10,484.56x = 121,000,744.04
  5. Step 5: Solve for x
    x = 121,000,744.04/10,484.56
  6. Step 6: Final answer
    x = 11,540.85

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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.