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Finding the Fourth Proportional to 9,309.84, 13,964.74 and 6,548.85

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Solution

The fourth proportional to 9,309.84, 13,964.74 and 6,548.85 is: 9,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.84 : 13,964.74 = 6,548.85 : x
  2. Step 2: Convert to fraction form
    9,309.84/13,964.74 = 6,548.85/x
  3. Step 3: Cross multiply
    9,309.84x = 13,964.74 × 6,548.85
  4. Step 4: Simplify right side
    9,309.84x = 91,452,971.18
  5. Step 5: Solve for x
    x = 91,452,971.18/9,309.84
  6. Step 6: Final answer
    x = 9,823.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.