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Finding the Fourth Proportional to 9,712.53, 13,404.03 and 5,464.08

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Solution

The fourth proportional to 9,712.53, 13,404.03 and 5,464.08 is: 7,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.53 : 13,404.03 = 5,464.08 : x
  2. Step 2: Convert to fraction form
    9,712.53/13,404.03 = 5,464.08/x
  3. Step 3: Cross multiply
    9,712.53x = 13,404.03 × 5,464.08
  4. Step 4: Simplify right side
    9,712.53x = 73,240,692.24
  5. Step 5: Solve for x
    x = 73,240,692.24/9,712.53
  6. Step 6: Final answer
    x = 7,540.85

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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.