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Finding the Fourth Proportional to 6,106.40, 8,568.40 and 6,106.40

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Solution

The fourth proportional to 6,106.40, 8,568.40 and 6,106.40 is: 8,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.40 : 8,568.40 = 6,106.40 : x
  2. Step 2: Convert to fraction form
    6,106.40/8,568.40 = 6,106.40/x
  3. Step 3: Cross multiply
    6,106.40x = 8,568.40 × 6,106.40
  4. Step 4: Simplify right side
    6,106.40x = 52,322,077.76
  5. Step 5: Solve for x
    x = 52,322,077.76/6,106.40
  6. Step 6: Final answer
    x = 8,568.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.