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Finding the Fourth Proportional to 14,697.60, 22,046.40 and 5,462.40

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Solution

The fourth proportional to 14,697.60, 22,046.40 and 5,462.40 is: 8,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.60 : 22,046.40 = 5,462.40 : x
  2. Step 2: Convert to fraction form
    14,697.60/22,046.40 = 5,462.40/x
  3. Step 3: Cross multiply
    14,697.60x = 22,046.40 × 5,462.40
  4. Step 4: Simplify right side
    14,697.60x = 120,426,255.36
  5. Step 5: Solve for x
    x = 120,426,255.36/14,697.60
  6. Step 6: Final answer
    x = 8,193.60

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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.