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Finding the Fourth Proportional to 4,697.60, 7,046.40 and 4,409.60

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Solution

The fourth proportional to 4,697.60, 7,046.40 and 4,409.60 is: 6,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.60 : 7,046.40 = 4,409.60 : x
  2. Step 2: Convert to fraction form
    4,697.60/7,046.40 = 4,409.60/x
  3. Step 3: Cross multiply
    4,697.60x = 7,046.40 × 4,409.60
  4. Step 4: Simplify right side
    4,697.60x = 31,071,805.44
  5. Step 5: Solve for x
    x = 31,071,805.44/4,697.60
  6. Step 6: Final answer
    x = 6,614.40

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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.