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Finding the Fourth Proportional to 9,794.60, 14,691.90 and 5,420.60

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Solution

The fourth proportional to 9,794.60, 14,691.90 and 5,420.60 is: 8,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.60 : 14,691.90 = 5,420.60 : x
  2. Step 2: Convert to fraction form
    9,794.60/14,691.90 = 5,420.60/x
  3. Step 3: Cross multiply
    9,794.60x = 14,691.90 × 5,420.60
  4. Step 4: Simplify right side
    9,794.60x = 79,638,913.14
  5. Step 5: Solve for x
    x = 79,638,913.14/9,794.60
  6. Step 6: Final answer
    x = 8,130.90

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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.