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Finding the Fourth Proportional to 13,374.76, 18,455.36 and 7,406.28

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Solution

The fourth proportional to 13,374.76, 18,455.36 and 7,406.28 is: 10,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.76 : 18,455.36 = 7,406.28 : x
  2. Step 2: Convert to fraction form
    13,374.76/18,455.36 = 7,406.28/x
  3. Step 3: Cross multiply
    13,374.76x = 18,455.36 × 7,406.28
  4. Step 4: Simplify right side
    13,374.76x = 136,685,452.87
  5. Step 5: Solve for x
    x = 136,685,452.87/13,374.76
  6. Step 6: Final answer
    x = 10,219.66

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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.