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Finding the Fourth Proportional to 10,803.98, 14,893.17 and 8,442.02

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Solution

The fourth proportional to 10,803.98, 14,893.17 and 8,442.02 is: 11,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.98 : 14,893.17 = 8,442.02 : x
  2. Step 2: Convert to fraction form
    10,803.98/14,893.17 = 8,442.02/x
  3. Step 3: Cross multiply
    10,803.98x = 14,893.17 × 8,442.02
  4. Step 4: Simplify right side
    10,803.98x = 125,728,444.58
  5. Step 5: Solve for x
    x = 125,728,444.58/10,803.98
  6. Step 6: Final answer
    x = 11,637.23

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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.