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Finding the Fourth Proportional to 9,706.16, 14,562.89 and 5,813.30

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Solution

The fourth proportional to 9,706.16, 14,562.89 and 5,813.30 is: 8,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.16 : 14,562.89 = 5,813.30 : x
  2. Step 2: Convert to fraction form
    9,706.16/14,562.89 = 5,813.30/x
  3. Step 3: Cross multiply
    9,706.16x = 14,562.89 × 5,813.30
  4. Step 4: Simplify right side
    9,706.16x = 84,658,448.44
  5. Step 5: Solve for x
    x = 84,658,448.44/9,706.16
  6. Step 6: Final answer
    x = 8,722.14

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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.