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Finding the Fourth Proportional to 7,692.04, 11,557.74 and 7,477.96

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Solution

The fourth proportional to 7,692.04, 11,557.74 and 7,477.96 is: 11,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.04 : 11,557.74 = 7,477.96 : x
  2. Step 2: Convert to fraction form
    7,692.04/11,557.74 = 7,477.96/x
  3. Step 3: Cross multiply
    7,692.04x = 11,557.74 × 7,477.96
  4. Step 4: Simplify right side
    7,692.04x = 86,428,317.41
  5. Step 5: Solve for x
    x = 86,428,317.41/7,692.04
  6. Step 6: Final answer
    x = 11,236.07

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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.