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Finding the Fourth Proportional to 7,609.60, 10,502.40 and 4,467.20

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Solution

The fourth proportional to 7,609.60, 10,502.40 and 4,467.20 is: 6,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.60 : 10,502.40 = 4,467.20 : x
  2. Step 2: Convert to fraction form
    7,609.60/10,502.40 = 4,467.20/x
  3. Step 3: Cross multiply
    7,609.60x = 10,502.40 × 4,467.20
  4. Step 4: Simplify right side
    7,609.60x = 46,916,321.28
  5. Step 5: Solve for x
    x = 46,916,321.28/7,609.60
  6. Step 6: Final answer
    x = 6,165.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.