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Finding the Fourth Proportional to 8,583.17, 11,838.65 and 5,226.19

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Solution

The fourth proportional to 8,583.17, 11,838.65 and 5,226.19 is: 7,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.17 : 11,838.65 = 5,226.19 : x
  2. Step 2: Convert to fraction form
    8,583.17/11,838.65 = 5,226.19/x
  3. Step 3: Cross multiply
    8,583.17x = 11,838.65 × 5,226.19
  4. Step 4: Simplify right side
    8,583.17x = 61,870,978.52
  5. Step 5: Solve for x
    x = 61,870,978.52/8,583.17
  6. Step 6: Final answer
    x = 7,208.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.