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Finding the Fourth Proportional to 25,877.80, 38,816.70 and 7,409.80

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Solution

The fourth proportional to 25,877.80, 38,816.70 and 7,409.80 is: 11,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,877.80 : 38,816.70 = 7,409.80 : x
  2. Step 2: Convert to fraction form
    25,877.80/38,816.70 = 7,409.80/x
  3. Step 3: Cross multiply
    25,877.80x = 38,816.70 × 7,409.80
  4. Step 4: Simplify right side
    25,877.80x = 287,623,983.66
  5. Step 5: Solve for x
    x = 287,623,983.66/25,877.80
  6. Step 6: Final answer
    x = 11,114.70

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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.