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Finding the Fourth Proportional to 9,510.12, 14,252.22 and 5,813.64

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Solution

The fourth proportional to 9,510.12, 14,252.22 and 5,813.64 is: 8,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.12 : 14,252.22 = 5,813.64 : x
  2. Step 2: Convert to fraction form
    9,510.12/14,252.22 = 5,813.64/x
  3. Step 3: Cross multiply
    9,510.12x = 14,252.22 × 5,813.64
  4. Step 4: Simplify right side
    9,510.12x = 82,857,276.28
  5. Step 5: Solve for x
    x = 82,857,276.28/9,510.12
  6. Step 6: Final answer
    x = 8,712.54

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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.