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Finding the Fourth Proportional to 13,301.20, 19,950.20 and 5,509.20

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Solution

The fourth proportional to 13,301.20, 19,950.20 and 5,509.20 is: 8,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,301.20 : 19,950.20 = 5,509.20 : x
  2. Step 2: Convert to fraction form
    13,301.20/19,950.20 = 5,509.20/x
  3. Step 3: Cross multiply
    13,301.20x = 19,950.20 × 5,509.20
  4. Step 4: Simplify right side
    13,301.20x = 109,909,641.84
  5. Step 5: Solve for x
    x = 109,909,641.84/13,301.20
  6. Step 6: Final answer
    x = 8,263.14

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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.