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Finding the Fourth Proportional to 6,522.89, 9,001.54 and 3,538.72

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Solution

The fourth proportional to 6,522.89, 9,001.54 and 3,538.72 is: 4,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.89 : 9,001.54 = 3,538.72 : x
  2. Step 2: Convert to fraction form
    6,522.89/9,001.54 = 3,538.72/x
  3. Step 3: Cross multiply
    6,522.89x = 9,001.54 × 3,538.72
  4. Step 4: Simplify right side
    6,522.89x = 31,853,911.55
  5. Step 5: Solve for x
    x = 31,853,911.55/6,522.89
  6. Step 6: Final answer
    x = 4,883.40

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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.