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Finding the Fourth Proportional to 6,886.69, 9,503.67 and 4,054.20

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Solution

The fourth proportional to 6,886.69, 9,503.67 and 4,054.20 is: 5,594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.69 : 9,503.67 = 4,054.20 : x
  2. Step 2: Convert to fraction form
    6,886.69/9,503.67 = 4,054.20/x
  3. Step 3: Cross multiply
    6,886.69x = 9,503.67 × 4,054.20
  4. Step 4: Simplify right side
    6,886.69x = 38,529,778.91
  5. Step 5: Solve for x
    x = 38,529,778.91/6,886.69
  6. Step 6: Final answer
    x = 5,594.82

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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.