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Finding the Fourth Proportional to 9,692.03, 13,371.50 and 5,497.85

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Solution

The fourth proportional to 9,692.03, 13,371.50 and 5,497.85 is: 7,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.03 : 13,371.50 = 5,497.85 : x
  2. Step 2: Convert to fraction form
    9,692.03/13,371.50 = 5,497.85/x
  3. Step 3: Cross multiply
    9,692.03x = 13,371.50 × 5,497.85
  4. Step 4: Simplify right side
    9,692.03x = 73,514,501.28
  5. Step 5: Solve for x
    x = 73,514,501.28/9,692.03
  6. Step 6: Final answer
    x = 7,585.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.