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Finding the Fourth Proportional to 7,798.54, 11,750.44 and 6,442.26

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Solution

The fourth proportional to 7,798.54, 11,750.44 and 6,442.26 is: 9,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.54 : 11,750.44 = 6,442.26 : x
  2. Step 2: Convert to fraction form
    7,798.54/11,750.44 = 6,442.26/x
  3. Step 3: Cross multiply
    7,798.54x = 11,750.44 × 6,442.26
  4. Step 4: Simplify right side
    7,798.54x = 75,699,389.59
  5. Step 5: Solve for x
    x = 75,699,389.59/7,798.54
  6. Step 6: Final answer
    x = 9,706.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.