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Finding the Fourth Proportional to 11,154.24, 15,393.24 and 6,374.88

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Solution

The fourth proportional to 11,154.24, 15,393.24 and 6,374.88 is: 8,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.24 : 15,393.24 = 6,374.88 : x
  2. Step 2: Convert to fraction form
    11,154.24/15,393.24 = 6,374.88/x
  3. Step 3: Cross multiply
    11,154.24x = 15,393.24 × 6,374.88
  4. Step 4: Simplify right side
    11,154.24x = 98,130,057.81
  5. Step 5: Solve for x
    x = 98,130,057.81/11,154.24
  6. Step 6: Final answer
    x = 8,797.56

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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.