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Finding the Fourth Proportional to 11,398.95, 15,726.02 and 6,682.32

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Solution

The fourth proportional to 11,398.95, 15,726.02 and 6,682.32 is: 9,218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.95 : 15,726.02 = 6,682.32 : x
  2. Step 2: Convert to fraction form
    11,398.95/15,726.02 = 6,682.32/x
  3. Step 3: Cross multiply
    11,398.95x = 15,726.02 × 6,682.32
  4. Step 4: Simplify right side
    11,398.95x = 105,086,264.55
  5. Step 5: Solve for x
    x = 105,086,264.55/11,398.95
  6. Step 6: Final answer
    x = 9,218.94

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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.