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Finding the Fourth Proportional to 6,544.35, 9,031.01 and 3,712.01

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Solution

The fourth proportional to 6,544.35, 9,031.01 and 3,712.01 is: 5,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.35 : 9,031.01 = 3,712.01 : x
  2. Step 2: Convert to fraction form
    6,544.35/9,031.01 = 3,712.01/x
  3. Step 3: Cross multiply
    6,544.35x = 9,031.01 × 3,712.01
  4. Step 4: Simplify right side
    6,544.35x = 33,523,135.72
  5. Step 5: Solve for x
    x = 33,523,135.72/6,544.35
  6. Step 6: Final answer
    x = 5,122.45

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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.