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Finding the Fourth Proportional to 5,097.60, 7,647.12 and 2,599.68

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Solution

The fourth proportional to 5,097.60, 7,647.12 and 2,599.68 is: 3,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.60 : 7,647.12 = 2,599.68 : x
  2. Step 2: Convert to fraction form
    5,097.60/7,647.12 = 2,599.68/x
  3. Step 3: Cross multiply
    5,097.60x = 7,647.12 × 2,599.68
  4. Step 4: Simplify right side
    5,097.60x = 19,880,064.92
  5. Step 5: Solve for x
    x = 19,880,064.92/5,097.60
  6. Step 6: Final answer
    x = 3,899.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.