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Finding the Fourth Proportional to 14,652.84, 20,220.98 and 7,938.48

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Solution

The fourth proportional to 14,652.84, 20,220.98 and 7,938.48 is: 10,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.84 : 20,220.98 = 7,938.48 : x
  2. Step 2: Convert to fraction form
    14,652.84/20,220.98 = 7,938.48/x
  3. Step 3: Cross multiply
    14,652.84x = 20,220.98 × 7,938.48
  4. Step 4: Simplify right side
    14,652.84x = 160,523,845.31
  5. Step 5: Solve for x
    x = 160,523,845.31/14,652.84
  6. Step 6: Final answer
    x = 10,955.14

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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.