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Finding the Fourth Proportional to 5,968.34, 8,892.54 and 5,633

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Solution

The fourth proportional to 5,968.34, 8,892.54 and 5,633 is: 8,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.34 : 8,892.54 = 5,633 : x
  2. Step 2: Convert to fraction form
    5,968.34/8,892.54 = 5,633/x
  3. Step 3: Cross multiply
    5,968.34x = 8,892.54 × 5,633
  4. Step 4: Simplify right side
    5,968.34x = 50,091,677.82
  5. Step 5: Solve for x
    x = 50,091,677.82/5,968.34
  6. Step 6: Final answer
    x = 8,392.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.