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Finding the Fourth Proportional to 25,349.64, 38,024.64 and 7,819.08

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Solution

The fourth proportional to 25,349.64, 38,024.64 and 7,819.08 is: 11,728.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,349.64 : 38,024.64 = 7,819.08 : x
  2. Step 2: Convert to fraction form
    25,349.64/38,024.64 = 7,819.08/x
  3. Step 3: Cross multiply
    25,349.64x = 38,024.64 × 7,819.08
  4. Step 4: Simplify right side
    25,349.64x = 297,317,702.13
  5. Step 5: Solve for x
    x = 297,317,702.13/25,349.64
  6. Step 6: Final answer
    x = 11,728.68

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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.