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Finding the Fourth Proportional to 15,277.81, 22,922.53 and 7,877.54

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Solution

The fourth proportional to 15,277.81, 22,922.53 and 7,877.54 is: 11,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,277.81 : 22,922.53 = 7,877.54 : x
  2. Step 2: Convert to fraction form
    15,277.81/22,922.53 = 7,877.54/x
  3. Step 3: Cross multiply
    15,277.81x = 22,922.53 × 7,877.54
  4. Step 4: Simplify right side
    15,277.81x = 180,573,184.59
  5. Step 5: Solve for x
    x = 180,573,184.59/15,277.81
  6. Step 6: Final answer
    x = 11,819.31

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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.