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Finding the Fourth Proportional to 9,794.36, 14,689.81 and 4,456.30

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Solution

The fourth proportional to 9,794.36, 14,689.81 and 4,456.30 is: 6,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.36 : 14,689.81 = 4,456.30 : x
  2. Step 2: Convert to fraction form
    9,794.36/14,689.81 = 4,456.30/x
  3. Step 3: Cross multiply
    9,794.36x = 14,689.81 × 4,456.30
  4. Step 4: Simplify right side
    9,794.36x = 65,462,140.64
  5. Step 5: Solve for x
    x = 65,462,140.64/9,794.36
  6. Step 6: Final answer
    x = 6,683.66

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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.