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Finding the Fourth Proportional to 14,160.76, 19,542.54 and 7,873

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Solution

The fourth proportional to 14,160.76, 19,542.54 and 7,873 is: 10,865.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,160.76 : 19,542.54 = 7,873 : x
  2. Step 2: Convert to fraction form
    14,160.76/19,542.54 = 7,873/x
  3. Step 3: Cross multiply
    14,160.76x = 19,542.54 × 7,873
  4. Step 4: Simplify right side
    14,160.76x = 153,858,417.42
  5. Step 5: Solve for x
    x = 153,858,417.42/14,160.76
  6. Step 6: Final answer
    x = 10,865.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.