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Finding the Fourth Proportional to 6,546.56, 9,031.04 and 4,026.56

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Solution

The fourth proportional to 6,546.56, 9,031.04 and 4,026.56 is: 5,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.56 : 9,031.04 = 4,026.56 : x
  2. Step 2: Convert to fraction form
    6,546.56/9,031.04 = 4,026.56/x
  3. Step 3: Cross multiply
    6,546.56x = 9,031.04 × 4,026.56
  4. Step 4: Simplify right side
    6,546.56x = 36,364,024.42
  5. Step 5: Solve for x
    x = 36,364,024.42/6,546.56
  6. Step 6: Final answer
    x = 5,554.68

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Double scale
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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.