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Finding the Fourth Proportional to 6,583.50, 9,838.94 and 5,278.86

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Solution

The fourth proportional to 6,583.50, 9,838.94 and 5,278.86 is: 7,889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.50 : 9,838.94 = 5,278.86 : x
  2. Step 2: Convert to fraction form
    6,583.50/9,838.94 = 5,278.86/x
  3. Step 3: Cross multiply
    6,583.50x = 9,838.94 × 5,278.86
  4. Step 4: Simplify right side
    6,583.50x = 51,938,360.41
  5. Step 5: Solve for x
    x = 51,938,360.41/6,583.50
  6. Step 6: Final answer
    x = 7,889.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.