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Finding the Fourth Proportional to 9,713.84, 13,393.64 and 6,649.18

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Solution

The fourth proportional to 9,713.84, 13,393.64 and 6,649.18 is: 9,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.84 : 13,393.64 = 6,649.18 : x
  2. Step 2: Convert to fraction form
    9,713.84/13,393.64 = 6,649.18/x
  3. Step 3: Cross multiply
    9,713.84x = 13,393.64 × 6,649.18
  4. Step 4: Simplify right side
    9,713.84x = 89,056,723.22
  5. Step 5: Solve for x
    x = 89,056,723.22/9,713.84
  6. Step 6: Final answer
    x = 9,168.02

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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.