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Finding the Fourth Proportional to 9,692.16, 14,538.32 and 5,784.80

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Solution

The fourth proportional to 9,692.16, 14,538.32 and 5,784.80 is: 8,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.16 : 14,538.32 = 5,784.80 : x
  2. Step 2: Convert to fraction form
    9,692.16/14,538.32 = 5,784.80/x
  3. Step 3: Cross multiply
    9,692.16x = 14,538.32 × 5,784.80
  4. Step 4: Simplify right side
    9,692.16x = 84,101,273.54
  5. Step 5: Solve for x
    x = 84,101,273.54/9,692.16
  6. Step 6: Final answer
    x = 8,677.25

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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.