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Finding the Fourth Proportional to 25,763.84, 38,646.48 and 7,044.14

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Solution

The fourth proportional to 25,763.84, 38,646.48 and 7,044.14 is: 10,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,763.84 : 38,646.48 = 7,044.14 : x
  2. Step 2: Convert to fraction form
    25,763.84/38,646.48 = 7,044.14/x
  3. Step 3: Cross multiply
    25,763.84x = 38,646.48 × 7,044.14
  4. Step 4: Simplify right side
    25,763.84x = 272,231,215.63
  5. Step 5: Solve for x
    x = 272,231,215.63/25,763.84
  6. Step 6: Final answer
    x = 10,566.41

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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.