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Finding the Fourth Proportional to 6,507.91, 8,980.92 and 3,523.74

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Solution

The fourth proportional to 6,507.91, 8,980.92 and 3,523.74 is: 4,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.91 : 8,980.92 = 3,523.74 : x
  2. Step 2: Convert to fraction form
    6,507.91/8,980.92 = 3,523.74/x
  3. Step 3: Cross multiply
    6,507.91x = 8,980.92 × 3,523.74
  4. Step 4: Simplify right side
    6,507.91x = 31,646,460.72
  5. Step 5: Solve for x
    x = 31,646,460.72/6,507.91
  6. Step 6: Final answer
    x = 4,862.77

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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.