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Finding the Fourth Proportional to 4,115.08, 6,172.54 and 995.06

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Solution

The fourth proportional to 4,115.08, 6,172.54 and 995.06 is: 1,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.08 : 6,172.54 = 995.06 : x
  2. Step 2: Convert to fraction form
    4,115.08/6,172.54 = 995.06/x
  3. Step 3: Cross multiply
    4,115.08x = 6,172.54 × 995.06
  4. Step 4: Simplify right side
    4,115.08x = 6,142,047.65
  5. Step 5: Solve for x
    x = 6,142,047.65/4,115.08
  6. Step 6: Final answer
    x = 1,492.57

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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.