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Finding the Fourth Proportional to 6,886.72, 9,503.77 and 4,054.10

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Solution

The fourth proportional to 6,886.72, 9,503.77 and 4,054.10 is: 5,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.72 : 9,503.77 = 4,054.10 : x
  2. Step 2: Convert to fraction form
    6,886.72/9,503.77 = 4,054.10/x
  3. Step 3: Cross multiply
    6,886.72x = 9,503.77 × 4,054.10
  4. Step 4: Simplify right side
    6,886.72x = 38,529,231.66
  5. Step 5: Solve for x
    x = 38,529,231.66/6,886.72
  6. Step 6: Final answer
    x = 5,594.71

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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.