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Finding the Fourth Proportional to 14,707.84, 22,047.84 and 5,471.68

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Solution

The fourth proportional to 14,707.84, 22,047.84 and 5,471.68 is: 8,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,707.84 : 22,047.84 = 5,471.68 : x
  2. Step 2: Convert to fraction form
    14,707.84/22,047.84 = 5,471.68/x
  3. Step 3: Cross multiply
    14,707.84x = 22,047.84 × 5,471.68
  4. Step 4: Simplify right side
    14,707.84x = 120,638,725.17
  5. Step 5: Solve for x
    x = 120,638,725.17/14,707.84
  6. Step 6: Final answer
    x = 8,202.34

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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.