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Finding the Fourth Proportional to 25,929.75, 38,894.64 and 7,461.75

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Solution

The fourth proportional to 25,929.75, 38,894.64 and 7,461.75 is: 11,192.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,929.75 : 38,894.64 = 7,461.75 : x
  2. Step 2: Convert to fraction form
    25,929.75/38,894.64 = 7,461.75/x
  3. Step 3: Cross multiply
    25,929.75x = 38,894.64 × 7,461.75
  4. Step 4: Simplify right side
    25,929.75x = 290,222,080.02
  5. Step 5: Solve for x
    x = 290,222,080.02/25,929.75
  6. Step 6: Final answer
    x = 11,192.63

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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.