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Finding the Fourth Proportional to 8,471.12, 12,698.08 and 4,086.16

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Solution

The fourth proportional to 8,471.12, 12,698.08 and 4,086.16 is: 6,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.12 : 12,698.08 = 4,086.16 : x
  2. Step 2: Convert to fraction form
    8,471.12/12,698.08 = 4,086.16/x
  3. Step 3: Cross multiply
    8,471.12x = 12,698.08 × 4,086.16
  4. Step 4: Simplify right side
    8,471.12x = 51,886,386.57
  5. Step 5: Solve for x
    x = 51,886,386.57/8,471.12
  6. Step 6: Final answer
    x = 6,125.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.