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Finding the Fourth Proportional to 11,797.40, 17,697.02 and 4,774.10

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Solution

The fourth proportional to 11,797.40, 17,697.02 and 4,774.10 is: 7,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.40 : 17,697.02 = 4,774.10 : x
  2. Step 2: Convert to fraction form
    11,797.40/17,697.02 = 4,774.10/x
  3. Step 3: Cross multiply
    11,797.40x = 17,697.02 × 4,774.10
  4. Step 4: Simplify right side
    11,797.40x = 84,487,343.18
  5. Step 5: Solve for x
    x = 84,487,343.18/11,797.40
  6. Step 6: Final answer
    x = 7,161.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.