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Finding the Fourth Proportional to 5,187.16, 7,736.09 and 4,412.08

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Solution

The fourth proportional to 5,187.16, 7,736.09 and 4,412.08 is: 6,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.16 : 7,736.09 = 4,412.08 : x
  2. Step 2: Convert to fraction form
    5,187.16/7,736.09 = 4,412.08/x
  3. Step 3: Cross multiply
    5,187.16x = 7,736.09 × 4,412.08
  4. Step 4: Simplify right side
    5,187.16x = 34,132,247.97
  5. Step 5: Solve for x
    x = 34,132,247.97/5,187.16
  6. Step 6: Final answer
    x = 6,580.14

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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.