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Finding the Fourth Proportional to 8,497.59, 12,742.79 and 4,548

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Solution

The fourth proportional to 8,497.59, 12,742.79 and 4,548 is: 6,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.59 : 12,742.79 = 4,548 : x
  2. Step 2: Convert to fraction form
    8,497.59/12,742.79 = 4,548/x
  3. Step 3: Cross multiply
    8,497.59x = 12,742.79 × 4,548
  4. Step 4: Simplify right side
    8,497.59x = 57,954,220.29
  5. Step 5: Solve for x
    x = 57,954,220.29/8,497.59
  6. Step 6: Final answer
    x = 6,820.08

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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.