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Finding the Fourth Proportional to 11,497.60, 17,219.22 and 5,655.88

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Solution

The fourth proportional to 11,497.60, 17,219.22 and 5,655.88 is: 8,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.60 : 17,219.22 = 5,655.88 : x
  2. Step 2: Convert to fraction form
    11,497.60/17,219.22 = 5,655.88/x
  3. Step 3: Cross multiply
    11,497.60x = 17,219.22 × 5,655.88
  4. Step 4: Simplify right side
    11,497.60x = 97,389,842.01
  5. Step 5: Solve for x
    x = 97,389,842.01/11,497.60
  6. Step 6: Final answer
    x = 8,470.45

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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.