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Finding the Fourth Proportional to 6,850.51, 10,275.77 and 1,656.39

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Solution

The fourth proportional to 6,850.51, 10,275.77 and 1,656.39 is: 2,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.51 : 10,275.77 = 1,656.39 : x
  2. Step 2: Convert to fraction form
    6,850.51/10,275.77 = 1,656.39/x
  3. Step 3: Cross multiply
    6,850.51x = 10,275.77 × 1,656.39
  4. Step 4: Simplify right side
    6,850.51x = 17,020,682.67
  5. Step 5: Solve for x
    x = 17,020,682.67/6,850.51
  6. Step 6: Final answer
    x = 2,484.59

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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.