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Finding the Fourth Proportional to 9,877.80, 14,824.80 and 9,553.80

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Solution

The fourth proportional to 9,877.80, 14,824.80 and 9,553.80 is: 14,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.80 : 14,824.80 = 9,553.80 : x
  2. Step 2: Convert to fraction form
    9,877.80/14,824.80 = 9,553.80/x
  3. Step 3: Cross multiply
    9,877.80x = 14,824.80 × 9,553.80
  4. Step 4: Simplify right side
    9,877.80x = 141,633,174.24
  5. Step 5: Solve for x
    x = 141,633,174.24/9,877.80
  6. Step 6: Final answer
    x = 14,338.53

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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.