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Finding the Fourth Proportional to 8,189.68, 11,300.70 and 4,653.22

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Solution

The fourth proportional to 8,189.68, 11,300.70 and 4,653.22 is: 6,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.68 : 11,300.70 = 4,653.22 : x
  2. Step 2: Convert to fraction form
    8,189.68/11,300.70 = 4,653.22/x
  3. Step 3: Cross multiply
    8,189.68x = 11,300.70 × 4,653.22
  4. Step 4: Simplify right side
    8,189.68x = 52,584,643.25
  5. Step 5: Solve for x
    x = 52,584,643.25/8,189.68
  6. Step 6: Final answer
    x = 6,420.84

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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.