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Finding the Fourth Proportional to 9,057.81, 12,494.03 and 6,543.62

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Solution

The fourth proportional to 9,057.81, 12,494.03 and 6,543.62 is: 9,026.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.81 : 12,494.03 = 6,543.62 : x
  2. Step 2: Convert to fraction form
    9,057.81/12,494.03 = 6,543.62/x
  3. Step 3: Cross multiply
    9,057.81x = 12,494.03 × 6,543.62
  4. Step 4: Simplify right side
    9,057.81x = 81,756,089.40
  5. Step 5: Solve for x
    x = 81,756,089.40/9,057.81
  6. Step 6: Final answer
    x = 9,026.03

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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.