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Finding the Fourth Proportional to 14,569.88, 21,843.62 and 7,542.36

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Solution

The fourth proportional to 14,569.88, 21,843.62 and 7,542.36 is: 11,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.88 : 21,843.62 = 7,542.36 : x
  2. Step 2: Convert to fraction form
    14,569.88/21,843.62 = 7,542.36/x
  3. Step 3: Cross multiply
    14,569.88x = 21,843.62 × 7,542.36
  4. Step 4: Simplify right side
    14,569.88x = 164,752,445.74
  5. Step 5: Solve for x
    x = 164,752,445.74/14,569.88
  6. Step 6: Final answer
    x = 11,307.74

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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.