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Finding the Fourth Proportional to 6,296.32, 8,729.32 and 5,946.40

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Solution

The fourth proportional to 6,296.32, 8,729.32 and 5,946.40 is: 8,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.32 : 8,729.32 = 5,946.40 : x
  2. Step 2: Convert to fraction form
    6,296.32/8,729.32 = 5,946.40/x
  3. Step 3: Cross multiply
    6,296.32x = 8,729.32 × 5,946.40
  4. Step 4: Simplify right side
    6,296.32x = 51,908,028.45
  5. Step 5: Solve for x
    x = 51,908,028.45/6,296.32
  6. Step 6: Final answer
    x = 8,244.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.