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Finding the Fourth Proportional to 13,214.80, 19,773.42 and 7,953.04

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Solution

The fourth proportional to 13,214.80, 19,773.42 and 7,953.04 is: 11,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.80 : 19,773.42 = 7,953.04 : x
  2. Step 2: Convert to fraction form
    13,214.80/19,773.42 = 7,953.04/x
  3. Step 3: Cross multiply
    13,214.80x = 19,773.42 × 7,953.04
  4. Step 4: Simplify right side
    13,214.80x = 157,258,800.20
  5. Step 5: Solve for x
    x = 157,258,800.20/13,214.80
  6. Step 6: Final answer
    x = 11,900.20

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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.