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Finding the Fourth Proportional to 14,223.94, 19,624.44 and 7,935.10

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Solution

The fourth proportional to 14,223.94, 19,624.44 and 7,935.10 is: 10,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.94 : 19,624.44 = 7,935.10 : x
  2. Step 2: Convert to fraction form
    14,223.94/19,624.44 = 7,935.10/x
  3. Step 3: Cross multiply
    14,223.94x = 19,624.44 × 7,935.10
  4. Step 4: Simplify right side
    14,223.94x = 155,721,893.84
  5. Step 5: Solve for x
    x = 155,721,893.84/14,223.94
  6. Step 6: Final answer
    x = 10,947.87

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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.