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Finding the Fourth Proportional to 6,304.41, 8,695.74 and 5,742.63

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Solution

The fourth proportional to 6,304.41, 8,695.74 and 5,742.63 is: 7,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.41 : 8,695.74 = 5,742.63 : x
  2. Step 2: Convert to fraction form
    6,304.41/8,695.74 = 5,742.63/x
  3. Step 3: Cross multiply
    6,304.41x = 8,695.74 × 5,742.63
  4. Step 4: Simplify right side
    6,304.41x = 49,936,417.40
  5. Step 5: Solve for x
    x = 49,936,417.40/6,304.41
  6. Step 6: Final answer
    x = 7,920.87

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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.