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Finding the Fourth Proportional to 14,573.05, 21,854.94 and 4,710

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Solution

The fourth proportional to 14,573.05, 21,854.94 and 4,710 is: 7,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.05 : 21,854.94 = 4,710 : x
  2. Step 2: Convert to fraction form
    14,573.05/21,854.94 = 4,710/x
  3. Step 3: Cross multiply
    14,573.05x = 21,854.94 × 4,710
  4. Step 4: Simplify right side
    14,573.05x = 102,936,767.40
  5. Step 5: Solve for x
    x = 102,936,767.40/14,573.05
  6. Step 6: Final answer
    x = 7,063.50

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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.