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Finding the Fourth Proportional to 7,467.80, 11,209.80 and 4,697.60

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Solution

The fourth proportional to 7,467.80, 11,209.80 and 4,697.60 is: 7,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.80 : 11,209.80 = 4,697.60 : x
  2. Step 2: Convert to fraction form
    7,467.80/11,209.80 = 4,697.60/x
  3. Step 3: Cross multiply
    7,467.80x = 11,209.80 × 4,697.60
  4. Step 4: Simplify right side
    7,467.80x = 52,659,156.48
  5. Step 5: Solve for x
    x = 52,659,156.48/7,467.80
  6. Step 6: Final answer
    x = 7,051.50

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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.