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Finding the Fourth Proportional to 14,190.63, 19,583.51 and 7,817.68

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Solution

The fourth proportional to 14,190.63, 19,583.51 and 7,817.68 is: 10,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,190.63 : 19,583.51 = 7,817.68 : x
  2. Step 2: Convert to fraction form
    14,190.63/19,583.51 = 7,817.68/x
  3. Step 3: Cross multiply
    14,190.63x = 19,583.51 × 7,817.68
  4. Step 4: Simplify right side
    14,190.63x = 153,097,614.46
  5. Step 5: Solve for x
    x = 153,097,614.46/14,190.63
  6. Step 6: Final answer
    x = 10,788.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.