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Finding the Fourth Proportional to 7,544.34, 10,410.98 and 4,187.16

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Solution

The fourth proportional to 7,544.34, 10,410.98 and 4,187.16 is: 5,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.34 : 10,410.98 = 4,187.16 : x
  2. Step 2: Convert to fraction form
    7,544.34/10,410.98 = 4,187.16/x
  3. Step 3: Cross multiply
    7,544.34x = 10,410.98 × 4,187.16
  4. Step 4: Simplify right side
    7,544.34x = 43,592,418.08
  5. Step 5: Solve for x
    x = 43,592,418.08/7,544.34
  6. Step 6: Final answer
    x = 5,778.16

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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.