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Finding the Fourth Proportional to 9,774.90, 13,487.49 and 5,799.54

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Solution

The fourth proportional to 9,774.90, 13,487.49 and 5,799.54 is: 8,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.90 : 13,487.49 = 5,799.54 : x
  2. Step 2: Convert to fraction form
    9,774.90/13,487.49 = 5,799.54/x
  3. Step 3: Cross multiply
    9,774.90x = 13,487.49 × 5,799.54
  4. Step 4: Simplify right side
    9,774.90x = 78,221,237.75
  5. Step 5: Solve for x
    x = 78,221,237.75/9,774.90
  6. Step 6: Final answer
    x = 8,002.25

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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.