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Finding the Fourth Proportional to 12,773.14, 17,616.95 and 8,298.34

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Solution

The fourth proportional to 12,773.14, 17,616.95 and 8,298.34 is: 11,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.14 : 17,616.95 = 8,298.34 : x
  2. Step 2: Convert to fraction form
    12,773.14/17,616.95 = 8,298.34/x
  3. Step 3: Cross multiply
    12,773.14x = 17,616.95 × 8,298.34
  4. Step 4: Simplify right side
    12,773.14x = 146,191,385.01
  5. Step 5: Solve for x
    x = 146,191,385.01/12,773.14
  6. Step 6: Final answer
    x = 11,445.22

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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.