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Finding the Fourth Proportional to 6,299.16, 9,440.52 and 2,597.16

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Solution

The fourth proportional to 6,299.16, 9,440.52 and 2,597.16 is: 3,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.16 : 9,440.52 = 2,597.16 : x
  2. Step 2: Convert to fraction form
    6,299.16/9,440.52 = 2,597.16/x
  3. Step 3: Cross multiply
    6,299.16x = 9,440.52 × 2,597.16
  4. Step 4: Simplify right side
    6,299.16x = 24,518,540.92
  5. Step 5: Solve for x
    x = 24,518,540.92/6,299.16
  6. Step 6: Final answer
    x = 3,892.35

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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.