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Finding the Fourth Proportional to 25,853.49, 38,780.24 and 7,385.49

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Solution

The fourth proportional to 25,853.49, 38,780.24 and 7,385.49 is: 11,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,853.49 : 38,780.24 = 7,385.49 : x
  2. Step 2: Convert to fraction form
    25,853.49/38,780.24 = 7,385.49/x
  3. Step 3: Cross multiply
    25,853.49x = 38,780.24 × 7,385.49
  4. Step 4: Simplify right side
    25,853.49x = 286,411,037.79
  5. Step 5: Solve for x
    x = 286,411,037.79/25,853.49
  6. Step 6: Final answer
    x = 11,078.24

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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.