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Finding the Fourth Proportional to 14,551.94, 20,065.78 and 9,828.02

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Solution

The fourth proportional to 14,551.94, 20,065.78 and 9,828.02 is: 13,551.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.94 : 20,065.78 = 9,828.02 : x
  2. Step 2: Convert to fraction form
    14,551.94/20,065.78 = 9,828.02/x
  3. Step 3: Cross multiply
    14,551.94x = 20,065.78 × 9,828.02
  4. Step 4: Simplify right side
    14,551.94x = 197,206,887.16
  5. Step 5: Solve for x
    x = 197,206,887.16/14,551.94
  6. Step 6: Final answer
    x = 13,551.93

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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.