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Finding the Fourth Proportional to 9,774.12, 13,490.09 and 5,582.37

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Solution

The fourth proportional to 9,774.12, 13,490.09 and 5,582.37 is: 7,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.12 : 13,490.09 = 5,582.37 : x
  2. Step 2: Convert to fraction form
    9,774.12/13,490.09 = 5,582.37/x
  3. Step 3: Cross multiply
    9,774.12x = 13,490.09 × 5,582.37
  4. Step 4: Simplify right side
    9,774.12x = 75,306,578.35
  5. Step 5: Solve for x
    x = 75,306,578.35/9,774.12
  6. Step 6: Final answer
    x = 7,704.70

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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.