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Finding the Fourth Proportional to 9,486.64, 13,087.74 and 6,301.48

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Solution

The fourth proportional to 9,486.64, 13,087.74 and 6,301.48 is: 8,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.64 : 13,087.74 = 6,301.48 : x
  2. Step 2: Convert to fraction form
    9,486.64/13,087.74 = 6,301.48/x
  3. Step 3: Cross multiply
    9,486.64x = 13,087.74 × 6,301.48
  4. Step 4: Simplify right side
    9,486.64x = 82,472,131.86
  5. Step 5: Solve for x
    x = 82,472,131.86/9,486.64
  6. Step 6: Final answer
    x = 8,693.50

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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.