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Finding the Fourth Proportional to 9,857.08, 13,599.54 and 7,024.90

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Solution

The fourth proportional to 9,857.08, 13,599.54 and 7,024.90 is: 9,692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.08 : 13,599.54 = 7,024.90 : x
  2. Step 2: Convert to fraction form
    9,857.08/13,599.54 = 7,024.90/x
  3. Step 3: Cross multiply
    9,857.08x = 13,599.54 × 7,024.90
  4. Step 4: Simplify right side
    9,857.08x = 95,535,408.55
  5. Step 5: Solve for x
    x = 95,535,408.55/9,857.08
  6. Step 6: Final answer
    x = 9,692.06

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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.