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Finding the Fourth Proportional to 14,970.87, 22,449.02 and 6,201

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Solution

The fourth proportional to 14,970.87, 22,449.02 and 6,201 is: 9,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.87 : 22,449.02 = 6,201 : x
  2. Step 2: Convert to fraction form
    14,970.87/22,449.02 = 6,201/x
  3. Step 3: Cross multiply
    14,970.87x = 22,449.02 × 6,201
  4. Step 4: Simplify right side
    14,970.87x = 139,206,342.02
  5. Step 5: Solve for x
    x = 139,206,342.02/14,970.87
  6. Step 6: Final answer
    x = 9,298.48

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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.