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Finding the Fourth Proportional to 14,597.20, 21,896.88 and 4,738.06

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Solution

The fourth proportional to 14,597.20, 21,896.88 and 4,738.06 is: 7,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.20 : 21,896.88 = 4,738.06 : x
  2. Step 2: Convert to fraction form
    14,597.20/21,896.88 = 4,738.06/x
  3. Step 3: Cross multiply
    14,597.20x = 21,896.88 × 4,738.06
  4. Step 4: Simplify right side
    14,597.20x = 103,748,731.25
  5. Step 5: Solve for x
    x = 103,748,731.25/14,597.20
  6. Step 6: Final answer
    x = 7,107.44

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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.