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Finding the Fourth Proportional to 25,245.10, 37,867.65 and 7,714.78

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Solution

The fourth proportional to 25,245.10, 37,867.65 and 7,714.78 is: 11,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,245.10 : 37,867.65 = 7,714.78 : x
  2. Step 2: Convert to fraction form
    25,245.10/37,867.65 = 7,714.78/x
  3. Step 3: Cross multiply
    25,245.10x = 37,867.65 × 7,714.78
  4. Step 4: Simplify right side
    25,245.10x = 292,140,588.87
  5. Step 5: Solve for x
    x = 292,140,588.87/25,245.10
  6. Step 6: Final answer
    x = 11,572.17

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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.