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Finding the Fourth Proportional to 6,931.71, 9,566.84 and 4,414.91

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Solution

The fourth proportional to 6,931.71, 9,566.84 and 4,414.91 is: 6,093.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.71 : 9,566.84 = 4,414.91 : x
  2. Step 2: Convert to fraction form
    6,931.71/9,566.84 = 4,414.91/x
  3. Step 3: Cross multiply
    6,931.71x = 9,566.84 × 4,414.91
  4. Step 4: Simplify right side
    6,931.71x = 42,236,689.75
  5. Step 5: Solve for x
    x = 42,236,689.75/6,931.71
  6. Step 6: Final answer
    x = 6,093.26

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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.