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Finding the Fourth Proportional to 14,673.68, 21,994.32 and 5,782.40

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Solution

The fourth proportional to 14,673.68, 21,994.32 and 5,782.40 is: 8,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,673.68 : 21,994.32 = 5,782.40 : x
  2. Step 2: Convert to fraction form
    14,673.68/21,994.32 = 5,782.40/x
  3. Step 3: Cross multiply
    14,673.68x = 21,994.32 × 5,782.40
  4. Step 4: Simplify right side
    14,673.68x = 127,179,955.97
  5. Step 5: Solve for x
    x = 127,179,955.97/14,673.68
  6. Step 6: Final answer
    x = 8,667.22

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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.