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Finding the Fourth Proportional to 13,491.76, 20,237.40 and 5,283.76

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Solution

The fourth proportional to 13,491.76, 20,237.40 and 5,283.76 is: 7,925.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.76 : 20,237.40 = 5,283.76 : x
  2. Step 2: Convert to fraction form
    13,491.76/20,237.40 = 5,283.76/x
  3. Step 3: Cross multiply
    13,491.76x = 20,237.40 × 5,283.76
  4. Step 4: Simplify right side
    13,491.76x = 106,929,564.62
  5. Step 5: Solve for x
    x = 106,929,564.62/13,491.76
  6. Step 6: Final answer
    x = 7,925.55

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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.