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Finding the Fourth Proportional to 9,784.97, 14,679.68 and 4,239.23

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Solution

The fourth proportional to 9,784.97, 14,679.68 and 4,239.23 is: 6,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.97 : 14,679.68 = 4,239.23 : x
  2. Step 2: Convert to fraction form
    9,784.97/14,679.68 = 4,239.23/x
  3. Step 3: Cross multiply
    9,784.97x = 14,679.68 × 4,239.23
  4. Step 4: Simplify right side
    9,784.97x = 62,230,587.14
  5. Step 5: Solve for x
    x = 62,230,587.14/9,784.97
  6. Step 6: Final answer
    x = 6,359.82

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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.