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Finding the Fourth Proportional to 9,807.26, 14,706.27 and 3,562.87

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Solution

The fourth proportional to 9,807.26, 14,706.27 and 3,562.87 is: 5,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.26 : 14,706.27 = 3,562.87 : x
  2. Step 2: Convert to fraction form
    9,807.26/14,706.27 = 3,562.87/x
  3. Step 3: Cross multiply
    9,807.26x = 14,706.27 × 3,562.87
  4. Step 4: Simplify right side
    9,807.26x = 52,396,528.19
  5. Step 5: Solve for x
    x = 52,396,528.19/9,807.26
  6. Step 6: Final answer
    x = 5,342.63

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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.