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Finding the Fourth Proportional to 9,750.56, 14,679.80 and 6,692.64

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Solution

The fourth proportional to 9,750.56, 14,679.80 and 6,692.64 is: 10,076.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.56 : 14,679.80 = 6,692.64 : x
  2. Step 2: Convert to fraction form
    9,750.56/14,679.80 = 6,692.64/x
  3. Step 3: Cross multiply
    9,750.56x = 14,679.80 × 6,692.64
  4. Step 4: Simplify right side
    9,750.56x = 98,246,616.67
  5. Step 5: Solve for x
    x = 98,246,616.67/9,750.56
  6. Step 6: Final answer
    x = 10,076.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.