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Finding the Fourth Proportional to 9,892.95, 14,843.34 and 4,342.43

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Solution

The fourth proportional to 9,892.95, 14,843.34 and 4,342.43 is: 6,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.95 : 14,843.34 = 4,342.43 : x
  2. Step 2: Convert to fraction form
    9,892.95/14,843.34 = 4,342.43/x
  3. Step 3: Cross multiply
    9,892.95x = 14,843.34 × 4,342.43
  4. Step 4: Simplify right side
    9,892.95x = 64,456,090.70
  5. Step 5: Solve for x
    x = 64,456,090.70/9,892.95
  6. Step 6: Final answer
    x = 6,515.36

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1.5x scale

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.