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Finding the Fourth Proportional to 14,730.70, 22,097.28 and 6,411

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Solution

The fourth proportional to 14,730.70, 22,097.28 and 6,411 is: 9,617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,730.70 : 22,097.28 = 6,411 : x
  2. Step 2: Convert to fraction form
    14,730.70/22,097.28 = 6,411/x
  3. Step 3: Cross multiply
    14,730.70x = 22,097.28 × 6,411
  4. Step 4: Simplify right side
    14,730.70x = 141,665,662.08
  5. Step 5: Solve for x
    x = 141,665,662.08/14,730.70
  6. Step 6: Final answer
    x = 9,617.04

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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.