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Finding the Fourth Proportional to 7,054.90, 9,731.34 and 4,540.28

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Solution

The fourth proportional to 7,054.90, 9,731.34 and 4,540.28 is: 6,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.90 : 9,731.34 = 4,540.28 : x
  2. Step 2: Convert to fraction form
    7,054.90/9,731.34 = 4,540.28/x
  3. Step 3: Cross multiply
    7,054.90x = 9,731.34 × 4,540.28
  4. Step 4: Simplify right side
    7,054.90x = 44,183,008.38
  5. Step 5: Solve for x
    x = 44,183,008.38/7,054.90
  6. Step 6: Final answer
    x = 6,262.74

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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.