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Finding the Fourth Proportional to 6,295.64, 8,677.28 and 4,302.74

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Solution

The fourth proportional to 6,295.64, 8,677.28 and 4,302.74 is: 5,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.64 : 8,677.28 = 4,302.74 : x
  2. Step 2: Convert to fraction form
    6,295.64/8,677.28 = 4,302.74/x
  3. Step 3: Cross multiply
    6,295.64x = 8,677.28 × 4,302.74
  4. Step 4: Simplify right side
    6,295.64x = 37,336,079.75
  5. Step 5: Solve for x
    x = 37,336,079.75/6,295.64
  6. Step 6: Final answer
    x = 5,930.47

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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.