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Finding the Fourth Proportional to 5,300.94, 7,331.17 and 4,636.63

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Solution

The fourth proportional to 5,300.94, 7,331.17 and 4,636.63 is: 6,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.94 : 7,331.17 = 4,636.63 : x
  2. Step 2: Convert to fraction form
    5,300.94/7,331.17 = 4,636.63/x
  3. Step 3: Cross multiply
    5,300.94x = 7,331.17 × 4,636.63
  4. Step 4: Simplify right side
    5,300.94x = 33,991,929.49
  5. Step 5: Solve for x
    x = 33,991,929.49/5,300.94
  6. Step 6: Final answer
    x = 6,412.44

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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.