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Finding the Fourth Proportional to 14,578.17, 21,838.64 and 7,562.76

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Solution

The fourth proportional to 14,578.17, 21,838.64 and 7,562.76 is: 11,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.17 : 21,838.64 = 7,562.76 : x
  2. Step 2: Convert to fraction form
    14,578.17/21,838.64 = 7,562.76/x
  3. Step 3: Cross multiply
    14,578.17x = 21,838.64 × 7,562.76
  4. Step 4: Simplify right side
    14,578.17x = 165,160,393.05
  5. Step 5: Solve for x
    x = 165,160,393.05/14,578.17
  6. Step 6: Final answer
    x = 11,329.30

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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.