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Finding the Fourth Proportional to 6,097.72, 8,416.48 and 3,580.20

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Solution

The fourth proportional to 6,097.72, 8,416.48 and 3,580.20 is: 4,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.72 : 8,416.48 = 3,580.20 : x
  2. Step 2: Convert to fraction form
    6,097.72/8,416.48 = 3,580.20/x
  3. Step 3: Cross multiply
    6,097.72x = 8,416.48 × 3,580.20
  4. Step 4: Simplify right side
    6,097.72x = 30,132,681.70
  5. Step 5: Solve for x
    x = 30,132,681.70/6,097.72
  6. Step 6: Final answer
    x = 4,941.63

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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.