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Finding the Fourth Proportional to 5,186.16, 7,734.60 and 4,411.08

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Solution

The fourth proportional to 5,186.16, 7,734.60 and 4,411.08 is: 6,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.16 : 7,734.60 = 4,411.08 : x
  2. Step 2: Convert to fraction form
    5,186.16/7,734.60 = 4,411.08/x
  3. Step 3: Cross multiply
    5,186.16x = 7,734.60 × 4,411.08
  4. Step 4: Simplify right side
    5,186.16x = 34,117,939.37
  5. Step 5: Solve for x
    x = 34,117,939.37/5,186.16
  6. Step 6: Final answer
    x = 6,578.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.