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Finding the Fourth Proportional to 7,467.60, 10,305.24 and 4,110.24

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Solution

The fourth proportional to 7,467.60, 10,305.24 and 4,110.24 is: 5,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.60 : 10,305.24 = 4,110.24 : x
  2. Step 2: Convert to fraction form
    7,467.60/10,305.24 = 4,110.24/x
  3. Step 3: Cross multiply
    7,467.60x = 10,305.24 × 4,110.24
  4. Step 4: Simplify right side
    7,467.60x = 42,357,009.66
  5. Step 5: Solve for x
    x = 42,357,009.66/7,467.60
  6. Step 6: Final answer
    x = 5,672.10

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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.