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Finding the Fourth Proportional to 5,584.48, 7,697.76 and 4,461.88

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Solution

The fourth proportional to 5,584.48, 7,697.76 and 4,461.88 is: 6,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.48 : 7,697.76 = 4,461.88 : x
  2. Step 2: Convert to fraction form
    5,584.48/7,697.76 = 4,461.88/x
  3. Step 3: Cross multiply
    5,584.48x = 7,697.76 × 4,461.88
  4. Step 4: Simplify right side
    5,584.48x = 34,346,481.39
  5. Step 5: Solve for x
    x = 34,346,481.39/5,584.48
  6. Step 6: Final answer
    x = 6,150.35

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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.