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Finding the Fourth Proportional to 8,705.93, 12,007.98 and 6,149.57

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Solution

The fourth proportional to 8,705.93, 12,007.98 and 6,149.57 is: 8,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.93 : 12,007.98 = 6,149.57 : x
  2. Step 2: Convert to fraction form
    8,705.93/12,007.98 = 6,149.57/x
  3. Step 3: Cross multiply
    8,705.93x = 12,007.98 × 6,149.57
  4. Step 4: Simplify right side
    8,705.93x = 73,843,853.53
  5. Step 5: Solve for x
    x = 73,843,853.53/8,705.93
  6. Step 6: Final answer
    x = 8,482.02

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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.