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Finding the Fourth Proportional to 14,657.20, 21,937.20 and 10,283.20

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Solution

The fourth proportional to 14,657.20, 21,937.20 and 10,283.20 is: 15,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.20 : 21,937.20 = 10,283.20 : x
  2. Step 2: Convert to fraction form
    14,657.20/21,937.20 = 10,283.20/x
  3. Step 3: Cross multiply
    14,657.20x = 21,937.20 × 10,283.20
  4. Step 4: Simplify right side
    14,657.20x = 225,584,615.04
  5. Step 5: Solve for x
    x = 225,584,615.04/14,657.20
  6. Step 6: Final answer
    x = 15,390.70

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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.