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Finding the Fourth Proportional to 6,774.51, 10,165.01 and 4,182.51

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Solution

The fourth proportional to 6,774.51, 10,165.01 and 4,182.51 is: 6,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.51 : 10,165.01 = 4,182.51 : x
  2. Step 2: Convert to fraction form
    6,774.51/10,165.01 = 4,182.51/x
  3. Step 3: Cross multiply
    6,774.51x = 10,165.01 × 4,182.51
  4. Step 4: Simplify right side
    6,774.51x = 42,515,235.06
  5. Step 5: Solve for x
    x = 42,515,235.06/6,774.51
  6. Step 6: Final answer
    x = 6,275.77

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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.