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Finding the Fourth Proportional to 10,568.91, 14,584.06 and 6,319.12

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Solution

The fourth proportional to 10,568.91, 14,584.06 and 6,319.12 is: 8,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.91 : 14,584.06 = 6,319.12 : x
  2. Step 2: Convert to fraction form
    10,568.91/14,584.06 = 6,319.12/x
  3. Step 3: Cross multiply
    10,568.91x = 14,584.06 × 6,319.12
  4. Step 4: Simplify right side
    10,568.91x = 92,158,425.23
  5. Step 5: Solve for x
    x = 92,158,425.23/10,568.91
  6. Step 6: Final answer
    x = 8,719.77

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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.