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Finding the Fourth Proportional to 14,224.74, 19,628.19 and 7,935.90

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Solution

The fourth proportional to 14,224.74, 19,628.19 and 7,935.90 is: 10,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.74 : 19,628.19 = 7,935.90 : x
  2. Step 2: Convert to fraction form
    14,224.74/19,628.19 = 7,935.90/x
  3. Step 3: Cross multiply
    14,224.74x = 19,628.19 × 7,935.90
  4. Step 4: Simplify right side
    14,224.74x = 155,767,353.02
  5. Step 5: Solve for x
    x = 155,767,353.02/14,224.74
  6. Step 6: Final answer
    x = 10,950.45

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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.