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Finding the Fourth Proportional to 8,265.99, 12,371.19 and 7,583.16

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Solution

The fourth proportional to 8,265.99, 12,371.19 and 7,583.16 is: 11,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.99 : 12,371.19 = 7,583.16 : x
  2. Step 2: Convert to fraction form
    8,265.99/12,371.19 = 7,583.16/x
  3. Step 3: Cross multiply
    8,265.99x = 12,371.19 × 7,583.16
  4. Step 4: Simplify right side
    8,265.99x = 93,812,713.16
  5. Step 5: Solve for x
    x = 93,812,713.16/8,265.99
  6. Step 6: Final answer
    x = 11,349.24

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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.